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\n  \n 2024\n \n \n (1)\n \n \n
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\n \n\n \n \n \n \n \n Control of multiconsensus in multi-agent systems based on eigenvector centrality.\n \n \n \n\n\n \n Cinzia Tomaselli; Valentina Baruzzi; Francesco Sorrentino; and Mattia Frasca.\n\n\n \n\n\n\n Accepted for publication in Automatica. 2024.\n \n\n\n\n
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@article{Tomaselli2024Control,\nauthor={Tomaselli, Cinzia and Baruzzi, Valentina and Sorrentino, Francesco and Frasca, Mattia},\n  journal={Accepted for publication in Automatica}, \n  title={Control of multiconsensus in multi-agent systems based on eigenvector centrality}, \n  year={2024},\n  volume={},\n  number={},\n  pages={},\n  doi={}\n  }\n\n
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\n  \n 2023\n \n \n (13)\n \n \n
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\n \n\n \n \n \n \n \n Bridging functional and anatomical neural connectivity through cluster synchronization.\n \n \n \n\n\n \n Valentina Baruzzi; Matteo Lodi; Francesco Sorrentino; and Marco Storace.\n\n\n \n\n\n\n Scientific Reports, 13(1): 22430. 2023.\n \n\n\n\n
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@article{Baruzzi2023Bridging,\nauthor={Baruzzi, Valentina and Lodi, Matteo and Sorrentino, Francesco and Storace, Marco},\n  journal={Scientific Reports}, \n  title={Bridging functional and anatomical neural connectivity through cluster synchronization}, \n  year={2023},\n  volume={13},\n  number={1},\n  pages={22430},\n  doi={10.1038/s41598-023-49746-2}\n  }\n\n
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\n \n\n \n \n \n \n \n The Reactability of Discrete Time Systems.\n \n \n \n\n\n \n Amirhossein Nazerian; David Phillips; Mattia Frasca; and Francesco Sorrentino.\n\n\n \n\n\n\n IEEE Control Systems Letters, 7: 3657-3662. 2023.\n \n\n\n\n
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@article{Nazerian2023reactability,\n  author={Nazerian, Amirhossein and Phillips, David and Frasca, Mattia and Sorrentino, Francesco},\n  journal={IEEE Control Systems Letters}, \n  title={The Reactability of Discrete Time Systems}, \n  year={2023},\n  volume={7},\n  number={},\n  pages={3657-3662},\n  doi={10.1109/LCSYS.2023.3339093}\n  }\n\n\n\n
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\n \n\n \n \n \n \n \n Forced Symmetry-Breaking Bifurcations in Networks with Disordered Parameters.\n \n \n \n\n\n \n Antonio Palacios; Francesco Sorrentino; Amirhossein Nazerian; and Visarath In.\n\n\n \n\n\n\n International Journal of Bifurcation and Chaos, 33(11): 2330027. 2023.\n \n\n\n\n
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@article{Palacios2023Forced,\nauthor = {Palacios, Antonio and Sorrentino, Francesco and Nazerian, Amirhossein and In, Visarath},\ntitle = {Forced Symmetry-Breaking Bifurcations in Networks with Disordered Parameters},\njournal = {International Journal of Bifurcation and Chaos},\nvolume = {33},\nnumber = {11},\npages = {2330027},\nyear = {2023},\ndoi = {10.1142/S0218127423300276}\n}\n\n\n\n
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\n \n\n \n \n \n \n \n Synchronizing chaos using reservoir computing.\n \n \n \n\n\n \n Amirhossein Nazerian; Chad Nathe; Joseph D. Hart; and Francesco Sorrentino.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 33(10): 103121. 10 2023.\n \n\n\n\n
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@article{Nazerian2023synchronizing,\n    author = {Nazerian, Amirhossein and Nathe, Chad and Hart, Joseph D. and Sorrentino, Francesco},\n    title = {Synchronizing chaos using reservoir computing},\n    journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},\n    volume = {33},\n    number = {10},\n    pages = {103121},\n    year = {2023},\n    month = {10},\n\tissn = {1054-1500},\n    doi = {10.1063/5.0161076}\n}\n\n\n
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\n \n\n \n \n \n \n \n Multiconsensus induced by network symmetries.\n \n \n \n\n\n \n Cinzia Tomaselli; Lucia Valentina Gambuzza; Francesco Sorrentino; and Mattia Frasca.\n\n\n \n\n\n\n Systems & Control Letters, 181: 105629. 2023.\n \n\n\n\n
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@article{Tomaselli2023Multiconsensus,\ntitle = {Multiconsensus induced by network symmetries},\njournal = {Systems & Control Letters},\nvolume = {181},\npages = {105629},\nyear = {2023},\nissn = {0167-6911},\ndoi = {https://doi.org/10.1016/j.sysconle.2023.105629},\nauthor = {Cinzia Tomaselli and Lucia Valentina Gambuzza and Francesco Sorrentino and Mattia Frasca},\n}\n\n
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\n \n\n \n \n \n \n \n Synchronization in networked systems with large parameter heterogeneity.\n \n \n \n\n\n \n Amirhossein Nazerian; Shirin Panahi; and Francesco Sorrentino.\n\n\n \n\n\n\n Communications Physics, 6(253): 1. Aug 2023.\n \n\n\n\n
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@article{Nazerian2023synchronization,\nyear = {2023},\nmonth = {Aug},\nvolume = {6},\nnumber = {253},\npages = {1},\nauthor = {Amirhossein Nazerian and Shirin Panahi and Francesco Sorrentino},\ntitle = {Synchronization in networked systems with large parameter heterogeneity},\njournal = {Communications Physics}\n}\n\n
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\n \n\n \n \n \n \n \n Single-Integrator Consensus Dynamics Over Minimally Reactive Networks.\n \n \n \n\n\n \n Amirhossein Nazerian; David Phillips; Hernán A. Makse; and Francesco Sorrentino.\n\n\n \n\n\n\n IEEE Control Systems Letters, 7: 2437-2442. 2023.\n \n\n\n\n
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@article{Nazerian2023single,\nauthor={Nazerian, Amirhossein and Phillips, David and Makse, Hernán A. and Sorrentino, Francesco},\n  journal={IEEE Control Systems Letters}, \n  title={Single-Integrator Consensus Dynamics Over Minimally Reactive Networks}, \n  year={2023},\n  volume={7},\n  number={},\n  pages={2437-2442},\n  doi={10.1109/LCSYS.2023.3286451}}\n\n \n\n
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\n \n\n \n \n \n \n \n Synchronization in networks of coupled oscillators with mismatches.\n \n \n \n\n\n \n Amirhossein Nazerian; Shirin Panahi; and Francesco Sorrentino.\n\n\n \n\n\n\n Europhysics Letters, 143(1): 11001. Jul 2023.\n \n\n\n\n
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@article{Nazerian_2023,\ndoi = {10.1209/0295-5075/acde5f},\nyear = {2023},\nmonth = {Jul},\npublisher = {EDP Sciences, IOP Publishing and Società Italiana di Fisica},\nvolume = {143},\nnumber = {1},\npages = {11001},\nauthor = {Amirhossein Nazerian and Shirin Panahi and Francesco Sorrentino},\ntitle = {Synchronization in networks of coupled oscillators with mismatches},\njournal = {Europhysics Letters},\n}\n\n\n  \n  \n  
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\n \n\n \n \n \n \n \n \n Time-shift selection for reservoir computing using a rank-revealing QR algorithm.\n \n \n \n \n\n\n \n Joseph D. Hart; Francesco Sorrentino; and Thomas L. Carroll.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 33(4). 2023.\n 043133\n\n\n\n
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@article{Hart2023Time,\n    author = {Hart, Joseph D. and Sorrentino, Francesco and Carroll, Thomas L.},\n    title = "{Time-shift selection for reservoir computing using a rank-revealing QR algorithm}",\n    journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},\n    volume = {33},\n    number = {4},\n    year = {2023},\n    issn = {1054-1500},\n    doi = {10.1063/5.0141251},\n    url = {https://doi.org/10.1063/5.0141251},\n    note = {043133}\n}\n\n\n\n\n\n
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\n \n\n \n \n \n \n \n Reservoir Computing with Noise.\n \n \n \n\n\n \n Chad Nathe; Chandra Pappu; Nicholas Mecholsky; Joe Hart; Thomas Carroll; and Francesco Sorrentino.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 33(4). 2023.\n \n\n\n\n
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@article{Nathe23ComputingwithNoise,\n  author={Nathe, Chad and Pappu, Chandra and Mecholsky, Nicholas and Hart, Joe and Carroll, Thomas and Sorrentino, Francesco},\n  journal={Chaos: An Interdisciplinary Journal of Nonlinear Science}, \n  title={Reservoir Computing with Noise}, \n  year={2023},\n  volume={33},\n  number={4}\n  }\n\n\n\n
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\n \n\n \n \n \n \n \n \n Algebraic Decomposition of Model Predictive Control Problems.\n \n \n \n \n\n\n \n Amirhossein Nazerian; Fredy Vides; and Francesco Sorrentino.\n\n\n \n\n\n\n IEEE Control Systems Letters, 7: 1441-1446. 2023.\n \n\n\n\n
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@article{Nazerian2023algebraic,\n  author={Nazerian, Amirhossein and Vides, Fredy and Sorrentino, Francesco},\n  journal={IEEE Control Systems Letters}, \n  title={Algebraic Decomposition of Model Predictive Control Problems}, \n  year={2023},\n  volume={7},\n  number={},\n  doi = {10.1109/LCSYS.2023.3252162},\n  URL = {https://doi.org/10.1109/LCSYS.2023.3252162},\n  pages={1441-1446}\n  }\n  \n
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\n \n\n \n \n \n \n \n Exact Decomposition of Optimal Control Problems via Simultaneous Block Diagonalization of Matrices.\n \n \n \n\n\n \n Amirhossein Nazerian; Kshitij Bhatta; and Francesco Sorrentino.\n\n\n \n\n\n\n IEEE Open Journal of Control Systems, 2: 24-35. 2023.\n \n\n\n\n
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@article{Nazerian2022exact,\n  author={Nazerian, Amirhossein and Bhatta, Kshitij and Sorrentino, Francesco},\n  journal={IEEE Open Journal of Control Systems}, \n  title={Exact Decomposition of Optimal Control Problems via Simultaneous Block Diagonalization of Matrices}, \n  year={2023},\n  volume={2},\n  number={},\n  pages={24-35},\n  doi={10.1109/OJCSYS.2022.3231553}\n  }\n\n\n\n
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\n \n\n \n \n \n \n \n Selecting energy efficient inputs using graph structure.\n \n \n \n\n\n \n Isaac Klickstein; and Francesco Sorrentino.\n\n\n \n\n\n\n International Journal of Control, 96(4): 986-998. 2023.\n \n\n\n\n
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@article{Klickstein2022Selecting,\nauthor = {Isaac Klickstein and Francesco Sorrentino},\ntitle = {Selecting energy efficient inputs using graph structure},\njournal = {International Journal of Control},\nvolume = {96},\nnumber = {4},\npages = {986-998},\nyear  = {2023},\npublisher = {Taylor & Francis},\ndoi = {10.1080/00207179.2021.2022218},\n}\n\n\n\n\n\n
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\n \n\n \n \n \n \n \n Symmetry-driven network reconstruction through pseudobalanced coloring optimization.\n \n \n \n\n\n \n Ian Leifer; David Phillips; Francesco Sorrentino; and Hernán A Makse.\n\n\n \n\n\n\n Journal of Statistical Mechanics: Theory and Experiment, 2022(7): 073403. jul 2022.\n \n\n\n\n
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@article{Leifer2022Symmetry,\ndoi = {10.1088/1742-5468/ac7a26},\nyear = {2022},\nmonth = {jul},\npublisher = {IOP Publishing and SISSA},\nvolume = {2022},\nnumber = {7},\npages = {073403},\nauthor = {Ian Leifer and David Phillips and Francesco Sorrentino and Hernán A Makse},\ntitle = {Symmetry-driven network reconstruction through pseudobalanced coloring optimization},\njournal = {Journal of Statistical Mechanics: Theory and Experiment}\n}\n\n\n\n\n
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\n \n\n \n \n \n \n \n \n Pinning control of networks: Dimensionality reduction through simultaneous block-diagonalization of matrices.\n \n \n \n \n\n\n \n Shirin Panahi; Matteo Lodi; Marco Storace; and Francesco Sorrentino.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 32(11): 113111. 2022.\n \n\n\n\n
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@article{Panahi2022Pinning,\nauthor = {Panahi,Shirin  and Lodi,Matteo  and Storace,Marco  and Sorrentino,Francesco },\ntitle = {Pinning control of networks: Dimensionality reduction through simultaneous block-diagonalization of matrices},\njournal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},\nvolume = {32},\nnumber = {11},\npages = {113111},\nyear = {2022},\ndoi = {10.1063/5.0090095},\n\nURL = { \n        https://doi.org/10.1063/5.0090095\n    \n}\n\n}\n\n\n\n\n
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\n \n\n \n \n \n \n \n Supermodal Decomposition of the Linear Swing Equation for Multilayer Networks.\n \n \n \n\n\n \n Kshitij Bhatta; Amirhossein Nazerian; and Francesco Sorrentino.\n\n\n \n\n\n\n IEEE Access, 10: 72658-72670. 2022.\n \n\n\n\n
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@article{Bhattaa2022Supermodal, \nauthor={Bhatta, Kshitij and Nazerian, Amirhossein and Sorrentino, Francesco},  \njournal={IEEE Access},  \n title={Supermodal Decomposition of the Linear Swing Equation for Multilayer Networks},   \nyear={2022}, \n volume={10}, \n number={}, \n pages={72658-72670},  \ndoi={10.1109/ACCESS.2022.3188392}\n}\n\n
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\n \n\n \n \n \n \n \n \n Matryoshka and disjoint cluster synchronization of networks.\n \n \n \n \n\n\n \n Amirhossein Nazerian; Shirin Panahi; Ian Leifer; David Phillips; Hernán A. Makse; and Francesco Sorrentino.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 32(4): 041101. 2022.\n \n\n\n\n
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@article{Nazerian2022Matryoshka,\nauthor = {Nazerian,Amirhossein  and Panahi,Shirin  and Leifer,Ian  and Phillips,David  and Makse,Hernán A.  and Sorrentino,Francesco },\ntitle = {Matryoshka and disjoint cluster synchronization of networks},\njournal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},\nvolume = {32},\nnumber = {4},\npages = {041101},\nyear = {2022},\ndoi = {10.1063/5.0076412},\nURL = { \n        https://doi.org/10.1063/5.0076412\n    \n}\n}\n\n\n
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\n \n\n \n \n \n \n \n Mitigating Cascading Failures in Power Grids via Markov Decision-Based Load-Shedding With DC Power Flow Model.\n \n \n \n\n\n \n Pankaz Das; Rezoan A. Shuvro; Kassie Povinelli; Francesco Sorrentino; and Majeed M. Hayat.\n\n\n \n\n\n\n IEEE Systems Journal,1-12. 2022.\n \n\n\n\n
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@article{Das2022Mitigating,\nauthor={Das, Pankaz and Shuvro, Rezoan A. and Povinelli, Kassie and Sorrentino, Francesco and Hayat, Majeed M.},  journal={IEEE Systems Journal},   title={Mitigating Cascading Failures in Power Grids via Markov Decision-Based Load-Shedding With DC Power Flow Model},   year={2022},  volume={},  number={},  pages={1-12},  doi={10.1109/JSYST.2022.3175359}\n}\n\n
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\n \n\n \n \n \n \n \n Looking beyond community structure leads to the discovery of dynamical communities in weighted networks.\n \n \n \n\n\n \n Chad Nathe; Lucia Valentina Gambuzza; Mattia Frasca; and Francesco Sorrentino.\n\n\n \n\n\n\n Scientific Reports, 12(1): 4524. Mar 2022.\n \n\n\n\n
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@Article{Nathe2022,\nauthor={Nathe, Chad\nand Gambuzza, Lucia Valentina\nand Frasca, Mattia\nand Sorrentino, Francesco},\ntitle={Looking beyond community structure leads to the discovery of dynamical communities in weighted networks},\njournal={Scientific Reports},\nyear={2022},\nmonth={Mar},\nday={16},\nvolume={12},\nnumber={1},\npages={4524},\nissn={2045-2322},\ndoi={10.1038/s41598-022-08214-z}\n}\n\n
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\n \n\n \n \n \n \n \n Failure of the simultaneous block diagonalization technique applied to complete and cluster synchronization of random networks.\n \n \n \n\n\n \n Shirin Panahi; Nelson Amaya; Isaac Klickstein; Galen Novello; and Francesco Sorrentino.\n\n\n \n\n\n\n Phys. Rev. E, 105: 014313. Jan 2022.\n \n\n\n\n
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@article{Panahi2022Failure,\n  title = {Failure of the simultaneous block diagonalization technique applied to complete and cluster synchronization of random networks},\n  author = {Panahi, Shirin and Amaya, Nelson and Klickstein, Isaac and Novello, Galen and Sorrentino, Francesco},\n  journal = {Phys. Rev. E},\n  volume = {105},\n  issue = {1},\n  pages = {014313},\n  numpages = {9},\n  year = {2022},\n  month = {Jan},\n  publisher = {American Physical Society},\n  doi = {10.1103/PhysRevE.105.014313},\n}\n\n\n\n
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\n \n\n \n \n \n \n \n \n Controlling consensus in networks with symmetries.\n \n \n \n \n\n\n \n Francesco Lo Iudice; Anna Di Meglio; Fabio Della Rossa; and Francesco Sorrentino.\n\n\n \n\n\n\n International Journal of Control, 95(11): 2943-2959. 2022.\n \n\n\n\n
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@article{dimeglio2020controlling,\nauthor = {Francesco Lo Iudice and Anna Di Meglio and Fabio Della Rossa and Francesco Sorrentino},\ntitle = {Controlling consensus in networks with symmetries},\njournal = {International Journal of Control},\nvolume = {95},\nnumber = {11},\npages = {2943-2959},\nyear  = {2022},\npublisher = {Taylor & Francis},\ndoi = {10.1080/00207179.2021.1946157},\n\nURL = { \n        https://doi.org/10.1080/00207179.2021.1946157\n    \n}\n\n}\n\n
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\n  \n 2021\n \n \n (8)\n \n \n
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\n \n\n \n \n \n \n \n \n Reservoir computing with random and optimized time-shifts.\n \n \n \n \n\n\n \n Enrico Del Frate; Afroza Shirin; and Francesco Sorrentino.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 31(12): 121103. 2021.\n \n\n\n\n
\n\n\n\n \n \n \"ReservoirPaper\n  \n \n\n \n \n doi\n  \n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n  \n \n 1 download\n \n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{Enrico2021timeshifts,\nauthor = {Del Frate,Enrico  and Shirin,Afroza  and Sorrentino,Francesco },\ntitle = {Reservoir computing with random and optimized time-shifts},\njournal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},\nvolume = {31},\nnumber = {12},\npages = {121103},\nyear = {2021},\ndoi = {10.1063/5.0068941},\n\nURL = { \n        https://doi.org/10.1063/5.0068941\n    \n},\neprint = { \n        https://doi.org/10.1063/5.0068941\n    \n}\n\n}\n\n\n\n
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\n \n\n \n \n \n \n \n Group synchrony, parameter mismatches, and intragroup connections.\n \n \n \n\n\n \n Shirin Panahi; and Francesco Sorrentino.\n\n\n \n\n\n\n Phys. Rev. E, 104: 054314. Nov 2021.\n \n\n\n\n
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@article{Panahi2021Group,\n  title = {Group synchrony, parameter mismatches, and intragroup connections},\n  author = {Panahi, Shirin and Sorrentino, Francesco},\n  journal = {Phys. Rev. E},\n  volume = {104},\n  issue = {5},\n  pages = {054314},\n  numpages = {12},\n  year = {2021},\n  month = {Nov},\n  publisher = {American Physical Society},\n  doi = {https://doi.org/10.1103/PhysRevE.104.054314},\n}\n\n\n
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\n \n\n \n \n \n \n \n Cluster synchronization of networks via a canonical transformation for simultaneous block diagonalization of matrices.\n \n \n \n\n\n \n Shirin Panahi; Isaac Klickstein; and Francesco Sorrentino.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 31(11): 111102. 2021.\n \n\n\n\n
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@article{Panahi2021Cluster,\nauthor = {Panahi,Shirin  and Klickstein,Isaac  and Sorrentino,Francesco },\ntitle = {Cluster synchronization of networks via a canonical transformation for simultaneous block diagonalization of matrices},\njournal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},\nvolume = {31},\nnumber = {11},\npages = {111102},\nyear = {2021},\ndoi = {10.1063/5.0071154},\n}\n\n\n\n
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\n \n\n \n \n \n \n \n Reservoir Computers Modal Decomposition and Optimization.\n \n \n \n\n\n \n Chad Nathe; Enrico Del Frate; Thomas Carroll; Louis Pecora; Afroza Shirin; and Francesco Sorrentino.\n\n\n \n\n\n\n Submitted for publication. 2021.\n \n\n\n\n
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@article{ChadEnricoThomas,\n  title={Reservoir Computers Modal Decomposition and Optimization},\n  author={Nathe,Chad and Del Frate, Enrico and Carroll, Thomas and Pecora, Louis and Shirin, Afroza and Sorrentino, Francesco},\n  journal={Submitted for publication},\n  year={2021}\n}\n\n\n\n\n
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\n \n\n \n \n \n \n \n One-way dependent clusters and stability of cluster synchronization in directed networks.\n \n \n \n\n\n \n Matteo Lodi; Francesco Sorrentino; and Marco Storace.\n\n\n \n\n\n\n Nature Communications, Article number:4073. 2021.\n \n\n\n\n
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@article{MatteoLodiFrancesco,\n  title={One-way dependent clusters and stability of cluster synchronization in directed networks},\n  author={Lodi, Matteo and Sorrentino, Francesco and Storace, Marco},\n  journal={Nature Communications, Article number:4073},\n  year={2021}\n}\n\n
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\n \n\n \n \n \n \n \n Modal Decomposition of the Linear Swing Equation in Networks with Symmetries.\n \n \n \n\n\n \n Kshitij Bhatta; Cesar Ornelas; Majeed Hayat; and Francesco Sorrentino.\n\n\n \n\n\n\n IEEE Transactions on Network Science and Engineering. DOI: 10.1109/TNSE.2021.3097972. 2021.\n \n\n\n\n
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@article{SorrentinoModalDecom,\n  title={Modal Decomposition of the Linear Swing Equation in Networks with Symmetries},\n  author={Bhatta, Kshitij and Ornelas, Cesar and Hayat, Majeed and Sorrentino, Francesco},\n  journal={IEEE Transactions on Network Science and Engineering. DOI: 10.1109/TNSE.2021.3097972},\n  year={2021}\n}\n\n\n
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\n \n\n \n \n \n \n \n Data-driven Optimized Control of the COVID-19 Epidemics.\n \n \n \n\n\n \n Afroza Shirin; Yen Ting Lin; and Francesco Sorrentino.\n\n\n \n\n\n\n Scientific Reports, 11:6525. 2021.\n \n\n\n\n
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@article{shirin2020data,\n  title={Data-driven Optimized Control of the COVID-19 Epidemics},\n  author={Shirin, Afroza and Yen Ting Lin and Francesco Sorrentino},\n  journal={Scientific Reports, 11:6525},\n  year={2021}\n}\n\n
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\n \n\n \n \n \n \n \n Controlling network ensembles.\n \n \n \n\n\n \n Isaac Klickstein; and Francesco Sorrentino.\n\n\n \n\n\n\n Nature Communications, 12:1884. 2021.\n \n\n\n\n
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@article{klickstein2020controlling,\n  title={Controlling network ensembles},\n  author={Klickstein, Isaac and Sorrentino, Francesco},\n  journal={Nature Communications, 12:1884},\n  year={2021}\n}\n\n
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\n  \n 2020\n \n \n (8)\n \n \n
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\n \n\n \n \n \n \n \n Delays Induced Cluster Synchronization in Chaotic Networks.\n \n \n \n\n\n \n Chad Nathe; huang Ke; Matteo Lodi; Marco Storace; and Francesco Sorrentino.\n\n\n \n\n\n\n CHAOS,30,121105 DOI:10.1063/5.0030720. 2020.\n \n\n\n\n
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@article{ChadNathe,\n  title={Delays Induced Cluster Synchronization in Chaotic Networks},\n  author={Nathe, Chad and Ke, huang and Lodi, Matteo and Storace, Marco and Sorrentino, Francesco},\n  journal={CHAOS,30,121105 DOI:10.1063/5.0030720},\n  year={2020}\n}\n\n\n
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\n \n\n \n \n \n \n \n Analyzing synchronized patterns in neuron networks.\n \n \n \n\n\n \n Matteo Lodi; Fabio Della Rossa; Francesco Sorrentino; and Marco Storace.\n\n\n \n\n\n\n Scientific Reports, 10, 16336. 2020.\n \n\n\n\n
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@article{lodi2020finding,\n  title={Analyzing synchronized patterns in neuron networks},\n  author={Lodi, Matteo and Della Rossa, Fabio and Sorrentino, Francesco and Storace, Marco},\n  journal={Scientific Reports, 10, 16336},\n  year={2020}\n}\n\n\n
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\n \n\n \n \n \n \n \n Experimental observation of synchronization between two bidirectionally coupled physically dissimilar oscillators.\n \n \n \n\n\n \n Ke Huang; Francesco Sorrentino; and Mani Hossein-Zadeh.\n\n\n \n\n\n\n Physical Review E 102(4),042215. 2020.\n \n\n\n\n
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@article{huang2020experimental,\n  title={Experimental observation of synchronization between two bidirectionally coupled physically dissimilar oscillators},\n  author={Huang, Ke and Sorrentino, Francesco and Hossein-Zadeh, Mani},\n  journal={Physical Review E 102(4),042215},\n  year={2020}\n}\n\n\n
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\n \n\n \n \n \n \n \n Symmetries and Cluster Synchronization in Multilayer Networks.\n \n \n \n\n\n \n Fabio Della Rossa; Louis Pecora; Karen A Blaha; Afroza Shirin; Isaac Klickstein; and Francesco Sorrentino.\n\n\n \n\n\n\n Nature Communications, 11(3179). 2020.\n \n\n\n\n
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@article{fabio2020symmetries,\n  title={Symmetries and Cluster Synchronization in Multilayer Networks},\n  author={Della Rossa, Fabio and Pecora, Louis and Blaha, Karen A and Shirin, Afroza and Klickstein, Isaac and Sorrentino, Francesco},\n  journal={Nature Communications},\n  volume={11},\n  number={3179},\n  year={2020}\n}\n\n
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\n \n\n \n \n \n \n \n Group Consensus in Multilayer Networks.\n \n \n \n\n\n \n Francesco Sorrentino; Louis M Pecora; and Ljiljana Trajkovic.\n\n\n \n\n\n\n IEEE Transactions on Network Science and Engineering, 7, 3, pp. 2016-2026. 2020.\n \n\n\n\n
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@article{sorrentino2020group,\n  title={Group Consensus in Multilayer Networks},\n  author={Sorrentino, Francesco and Pecora, Louis M and Trajkovic, Ljiljana},\n  journal={IEEE Transactions on Network Science and Engineering, 7, 3, pp. 2016-2026},\n  year={2020},\n  publisher={IEEE}\n}\n\n
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\n \n\n \n \n \n \n \n An algorithm for finding equitable clusters in multi-layer networks.\n \n \n \n\n\n \n Matteo Lodi; Fabio Della Rossa; Francesco Sorrentino ; and Marco Storace.\n\n\n \n\n\n\n Accepted for publication in the proceedings of the 2020 International Symposium of Circuits and Systems (ISCAS 2020). 2020.\n \n\n\n\n
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@article{matteo2020algorithm,\n  title={An algorithm for finding equitable clusters in multi-layer networks},\n  author={Lodi, Matteo and Della Rossa, Fabio and Sorrentino, Francesco, and Storace, Marco},\n  journal={Accepted for publication in the proceedings of the 2020 International Symposium of Circuits and Systems (ISCAS 2020)},\n  year={2020}\n}\n\n
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\n \n\n \n \n \n \n \n Controlling Symmetries and Clustered Dynamics of Complex Networks.\n \n \n \n\n\n \n L. Gambuzza; M. Frasca; F. Sorrentino; L. Pecora; and S. Boccaletti.\n\n\n \n\n\n\n Accepted for publication in the IEEE Transactions of Network Science and Engineering. 2020.\n \n\n\n\n
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@article{gambuzza2019controlling,\n  title={Controlling Symmetries and Clustered Dynamics of Complex Networks},\n  author={Gambuzza, L. and Frasca, M. and Sorrentino, F. and Pecora, L. and Boccaletti, S.},\n  journal={Accepted for publication in the IEEE Transactions of Network Science and Engineering},\n  year={2020}\n}\n\n
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\n \n\n \n \n \n \n \n Controllability Gramian of Lattice Graphs.\n \n \n \n\n\n \n Isaac Klickstein; and Francesco Sorrentino.\n\n\n \n\n\n\n Automatica, 114, 108833. 2020.\n \n\n\n\n
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@article{klickstein2018optimal,\n  title={Controllability Gramian of Lattice Graphs},\n  author={Klickstein, Isaac and Sorrentino, Francesco},\n  journal={Automatica, 114, 108833},\n  year={2020}\n}\n\n
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\n  \n 2019\n \n \n (9)\n \n \n
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\n \n\n \n \n \n \n \n Mitigating Cascading Failures in Smart Grids via Markov Decision based Load-shedding.\n \n \n \n\n\n \n Pankaz Das; Rezoan A. Shuvro; Francesco Sorrentino; and Majeed M. Hayat.\n\n\n \n\n\n\n Submitted for publication in IEEE Transactions on Smart Grid. 2019.\n \n\n\n\n
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@article{das2020mitigating,\n  title={Mitigating Cascading Failures in Smart Grids via Markov Decision based Load-shedding},\n  author={Das, Pankaz and Shuvro, Rezoan A. and Sorrentino, Francesco and Hayat, Majeed M.},\n  journal={Submitted for publication in IEEE Transactions on Smart Grid},\n  year={2019}\n}\n\n
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\n \n\n \n \n \n \n \n Stability Analysis of Reservoir Computers Dynamics via Lyapunov Functions.\n \n \n \n\n\n \n Afroza Shirin; Isaac Klickstein; and Francesco Sorrentino.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 29(10): 103147. 2019.\n \n\n\n\n
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@article{shirin2019stability,\n  title={Stability Analysis of Reservoir Computers Dynamics via Lyapunov Functions},\n  author={Shirin, Afroza and Klickstein, Isaac and Sorrentino, Francesco},\n  journal={Chaos: An Interdisciplinary Journal of Nonlinear Science},\n  volume={29},\n  number = {10},\n  pages={103147},\n  year={2019},\n  publisher={AIP Publishing}\n}\n\n
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\n \n\n \n \n \n \n \n On the Dynamics of Transmission Capacity and Load Loss during Cascading Failures in Power Grids.\n \n \n \n\n\n \n Rezoan Shuvro; Pankaz Das; Mahshid Rahnamay-Naeini; Francesco Sorrentino; and Majeed M. Hayat.\n\n\n \n\n\n\n IEEE PES Innovative Smart Grid Technologies Europe (ISGT-Europe). 2019.\n \n\n\n\n
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@article{shuvrodynamics2019,\n  title={On the Dynamics of Transmission Capacity and Load Loss during Cascading Failures in Power Grids},\n  author={Shuvro, Rezoan and Das, Pankaz and  Rahnamay-Naeini, Mahshid and  Sorrentino, Francesco and M. Hayat, Majeed},\n  journal={IEEE PES Innovative Smart Grid Technologies Europe (ISGT-Europe)},\n  year={2019}\n}\n\n
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\n \n\n \n \n \n \n \n Symmetry Induced Group Consensus.\n \n \n \n\n\n \n Isaac Klickstein; Louis Pecora; and Francesco Sorrentino.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 29: 073101. 2019.\n \n\n\n\n
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@article{klickstein2019symmetry,\n  title={Symmetry Induced Group Consensus},\n  author={Klickstein, Isaac and Pecora, Louis and Sorrentino, Francesco},\n  journal={Chaos: An Interdisciplinary Journal of Nonlinear Science},\n  volume={29},\n  pages={073101},\n  year={2019}\n}\n\n
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\n \n\n \n \n \n \n \n Optimal regulation of blood glucose level in type I diabetes using insulin and glucagon.\n \n \n \n\n\n \n Afroza Shirin; Fabio Della Rossa; Isaac Klickstein; John Russell; and Francesco Sorrentino.\n\n\n \n\n\n\n PloS one, 14(3): e0213665. 2019.\n \n\n\n\n
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@article{shirin2019optimal,\n  title={Optimal regulation of blood glucose level in type I diabetes using insulin and glucagon},\n  author={Shirin, Afroza and Della Rossa, Fabio and Klickstein, Isaac and Russell, John and Sorrentino, Francesco},\n  journal={PloS one},\n  number={3},\n  volume={14},\n  pages={e0213665},\n  publisher={Public Library of Science},\n  year={2019}  \n}\n\n
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\n \n\n \n \n \n \n \n Cluster Synchronization in Multilayer Networks: A Fully Analog Experiment with LC Oscillators with Physically Dissimilar Coupling.\n \n \n \n\n\n \n Karen A Blaha; Ke Huang; Fabio Della Rossa; Louis Pecora; Mani Hossein-Zadeh; and Francesco Sorrentino.\n\n\n \n\n\n\n Physical Review Letters, 122(1): 014101. 2019.\n \n\n\n\n
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@article{blaha2019cluster,\n  title={Cluster Synchronization in Multilayer Networks: A Fully Analog Experiment with LC Oscillators with Physically Dissimilar Coupling},\n  author={Blaha, Karen A and Huang, Ke and Della Rossa, Fabio and Pecora, Louis and Hossein-Zadeh, Mani and Sorrentino, Francesco},\n  journal={Physical Review Letters},\n  volume={122},\n  number={1},\n  pages={014101},\n  year={2019},\n  publisher={APS}\n}\n\n
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\n \n\n \n \n \n \n \n Prediction of optimal drug schedules for controlling autophagy.\n \n \n \n\n\n \n Afroza Shirin; Isaac Klickstein; Feng Song; Yen Ting Lin; William S Hlavacek; and Francesco Sorrentino.\n\n\n \n\n\n\n Scientific Reports, 9(1428). 2019.\n \n\n\n\n
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@article{shirin2018prediction,\n  title={Prediction of optimal drug schedules for controlling autophagy},\n  author={Shirin, Afroza and Klickstein, Isaac and Song, Feng and Lin, Yen Ting and Hlavacek, William S and Sorrentino, Francesco},\n  journal={Scientific Reports},\n  year={2019},\n  volume={9},\n  number={1428}\n}\n\n
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\n \n\n \n \n \n \n \n On node controllabiliy and observability in complex dynamical networks.\n \n \n \n\n\n \n Francesco Lo Iudice; Francesco Sorrentino; and Franco Garofalo.\n\n\n \n\n\n\n IEEE Control Systems Letters (L-CSS), 3(4). 2019.\n \n\n\n\n
\n\n\n\n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{iudice2019node,\n  title={On node controllabiliy and observability in complex dynamical networks},\n  author={Lo Iudice, Francesco and Sorrentino, Francesco and Garofalo, Franco},\n  journal={IEEE Control Systems Letters (L-CSS)},\n  volume={3},\n  number={4},\n  year={2019}\n}\n\n
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\n \n\n \n \n \n \n \n Symmetries in the time-averaged dynamics of networks: Reducing unnecessary complexity through minimal network models.\n \n \n \n\n\n \n Francesco Sorrentino; Abu Bakar Siddique; and Louis M. Pecora.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 29(1): 011101. 2019.\n \n\n\n\n
\n\n\n\n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{sorrentino2019symmetries,\n  title={Symmetries in the time-averaged dynamics of networks: Reducing unnecessary complexity through minimal network models},\n  author={Sorrentino, Francesco and Siddique, Abu Bakar and Pecora, Louis M.},\n  journal={Chaos: An Interdisciplinary Journal of Nonlinear Science},\n  volume={29},\n  number={1},\n  pages={011101},\n  year={2019},\n  publisher={AIP Publishing}\n}\n\n
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\n  \n 2018\n \n \n (9)\n \n \n
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\n \n\n \n \n \n \n \n Targeted synchronization in an externally driven population of mechanical oscillators.\n \n \n \n\n\n \n Sumit Chhabria; Karen A Blaha; Fabio Della Rossa; and Francesco Sorrentino.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 28(11): 111102. 2018.\n \n\n\n\n
\n\n\n\n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n  \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{chhabria2018targeted,\n  title={Targeted synchronization in an externally driven population of mechanical oscillators},\n  author={Chhabria, Sumit and Blaha, Karen A and Della Rossa, Fabio and Sorrentino, Francesco},\n  journal={Chaos: An Interdisciplinary Journal of Nonlinear Science},\n  volume={28},\n  number={11},\n  pages={111102},\n  year={2018},\n  publisher={AIP Publishing},\n  abstract={We experimentally investigate the synchronization of driven metronomes using a servo motor to impose external control. We show that a driven metronome will only synchronize in a narrow range near its own frequency; when we introduce coupling between metronomes, we can widen the range of frequencies over which a metronome will synchronize to the external input. Using these features, we design a signal to synchronize a population of dissimilar metronomes; separately we design a signal to selectively synchronize a subpopulation of metronomes within a heterogeneous population.}\n}\n\n
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\n We experimentally investigate the synchronization of driven metronomes using a servo motor to impose external control. We show that a driven metronome will only synchronize in a narrow range near its own frequency; when we introduce coupling between metronomes, we can widen the range of frequencies over which a metronome will synchronize to the external input. Using these features, we design a signal to synchronize a population of dissimilar metronomes; separately we design a signal to selectively synchronize a subpopulation of metronomes within a heterogeneous population.\n
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\n \n\n \n \n \n \n \n Generating symmetric graphs.\n \n \n \n\n\n \n Isaac Klickstein; and Francesco Sorrentino.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 28(12): 121102. 2018.\n \n\n\n\n
\n\n\n\n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{klickstein2018generatingb,\n  title={Generating symmetric graphs},\n  author={Klickstein, Isaac and Sorrentino, Francesco},\n  journal={Chaos: An Interdisciplinary Journal of Nonlinear Science},\n  volume={28},\n  number={12},\n  pages={121102},\n  year={2018},\n  publisher={AIP Publishing}\n}\n\n
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\n \n\n \n \n \n \n \n Generating Graphs with Symmetry.\n \n \n \n\n\n \n Isaac Samuel Klickstein; and Francesco Sorrentino.\n\n\n \n\n\n\n IEEE Transactions on Network Science and Engineering. 2018.\n \n\n\n\n
\n\n\n\n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{klickstein2018generating,\n  title={Generating Graphs with Symmetry},\n  author={Klickstein, Isaac Samuel and Sorrentino, Francesco},\n  journal={IEEE Transactions on Network Science and Engineering},\n  year={2018},\n  publisher={IEEE}\n}\n\n
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\n \n\n \n \n \n \n \n Optimal control of networks in the presence of attackers and defenders.\n \n \n \n\n\n \n Ishan Kafle; Sudarshan Bartaula; Afroza Shirin; Isaac Klickstein; Pankaz Das; and Francesco Sorrentino.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 28(5): 051103. 2018.\n \n\n\n\n
\n\n\n\n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{kafle2018optimal,\n  title={Optimal control of networks in the presence of attackers and defenders},\n  author={Kafle, Ishan and Bartaula, Sudarshan and Shirin, Afroza and Klickstein, Isaac and Das, Pankaz and Sorrentino, Francesco},\n  journal={Chaos: An Interdisciplinary Journal of Nonlinear Science},\n  volume={28},\n  number={5},\n  pages={051103},\n  year={2018},\n  publisher={AIP Publishing}\n}\n\n
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\n \n\n \n \n \n \n \n Control Distance and Energy Scaling of Complex Networks.\n \n \n \n\n\n \n Isaac Samuel Klickstein; and Francesco Sorrentino.\n\n\n \n\n\n\n IEEE Transactions on Network Science and Engineering. 2018.\n \n\n\n\n
\n\n\n\n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{klickstein2018controlb,\n  title={Control Distance and Energy Scaling of Complex Networks},\n  author={Klickstein, Isaac Samuel and Sorrentino, Francesco},\n  journal={IEEE Transactions on Network Science and Engineering},\n  year={2018},\n  publisher={IEEE}\n}\n\n
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\n \n\n \n \n \n \n \n Symmetry-and input-cluster synchronization in networks.\n \n \n \n\n\n \n Abu Bakar Siddique; Louis Pecora; Joseph D Hart; and Francesco Sorrentino.\n\n\n \n\n\n\n Physical Review E, 97(4): 042217. 2018.\n \n\n\n\n
\n\n\n\n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{siddique2018symmetry,\n  title={Symmetry-and input-cluster synchronization in networks},\n  author={Siddique, Abu Bakar and Pecora, Louis and Hart, Joseph D and Sorrentino, Francesco},\n  journal={Physical Review E},\n  volume={97},\n  number={4},\n  pages={042217},\n  year={2018},\n  publisher={APS}\n}\n\n
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\n \n\n \n \n \n \n \n Control energy of lattice graphs.\n \n \n \n\n\n \n Isaac Klickstein; and Francesco Sorrentino.\n\n\n \n\n\n\n In Decision and Control (CDC), 2018 IEEE 57th Annual Conference on, 2018. IEEE\n \n\n\n\n
\n\n\n\n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n  \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@inproceedings{klickstein2018control,\n  title={Control energy of lattice graphs},\n  author={Klickstein, Isaac and Sorrentino, Francesco},\n  booktitle={Decision and Control (CDC), 2018 IEEE 57th Annual Conference on},\n  year={2018},\n  organization={IEEE},\n  abstract={The control of complex networks has generated a lot of interest in a variety of fields from traffic management to neural systems. A commonly used metric to compare two particular control strategies that accomplish the same task is the control energy, the integral of the sum of squares of all control inputs. The minimum control energy problem determines the control input that lower bounds all other control inputs with respect to their control energies. Here, we focus on the infinite lattice graph with linear dynamics and analytically derive the expression for the minimum control energy in terms of the modified Bessel function. We then demonstrate that the control energy of the infinite lattice graph accurately predicts the control energy of finite lattice graphs.}\n}\n\n
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\n The control of complex networks has generated a lot of interest in a variety of fields from traffic management to neural systems. A commonly used metric to compare two particular control strategies that accomplish the same task is the control energy, the integral of the sum of squares of all control inputs. The minimum control energy problem determines the control input that lower bounds all other control inputs with respect to their control energies. Here, we focus on the infinite lattice graph with linear dynamics and analytically derive the expression for the minimum control energy in terms of the modified Bessel function. We then demonstrate that the control energy of the infinite lattice graph accurately predicts the control energy of finite lattice graphs.\n
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\n \n\n \n \n \n \n \n A data-driven model for simulating the evolution of transmission line failure in power grids.\n \n \n \n\n\n \n Pankaz Das; Rezoan A Shuvro; Zhuoyao Wang; Majeed M Hayat; and Francesco Sorrentino.\n\n\n \n\n\n\n In 2018 North American Power Symposium (NAPS), pages 1–6, North Dakota, 2018. IEEE\n \n\n\n\n
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@inproceedings{das2018data,\n  title={A data-driven model for simulating the evolution of transmission line failure in power grids},\n  author={Das, Pankaz and Shuvro, Rezoan A and Wang, Zhuoyao and Hayat, Majeed M and Sorrentino, Francesco},\n  booktitle={2018 North American Power Symposium (NAPS)},\n  pages={1--6},\n  year={2018},\n  organization={IEEE},\n  address={North Dakota}\n}\n\n
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\n \n\n \n \n \n \n \n Energy scaling with control distance in complex networks.\n \n \n \n\n\n \n Isaac Klickstein; Ishan Kafle; Sudarshan Bartaula; and Francesco Sorrentino.\n\n\n \n\n\n\n In Circuits and Systems (ISCAS), 2018 IEEE International Symposium on, pages 1–5, 2018. IEEE\n \n\n\n\n
\n\n\n\n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@inproceedings{klickstein2018energy,\n  title={Energy scaling with control distance in complex networks},\n  author={Klickstein, Isaac and Kafle, Ishan and Bartaula, Sudarshan and Sorrentino, Francesco},\n  booktitle={Circuits and Systems (ISCAS), 2018 IEEE International Symposium on},\n  pages={1--5},\n  year={2018},\n  organization={IEEE}\n}\n\n
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\n  \n 2017\n \n \n (3)\n \n \n
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\n \n\n \n \n \n \n \n Locally optimal control of complex networks.\n \n \n \n\n\n \n Isaac Klickstein; Afroza Shirin; and Francesco Sorrentino.\n\n\n \n\n\n\n Physical review letters, 119(26): 268301. 2017.\n \n\n\n\n
\n\n\n\n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n  \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{klickstein2017locally,\n  title={Locally optimal control of complex networks},\n  author={Klickstein, Isaac and Shirin, Afroza and Sorrentino, Francesco},\n  journal={Physical review letters},\n  volume={119},\n  number={26},\n  pages={268301},\n  year={2017},\n  publisher={APS},\n  abstract={It has recently been shown that the minimum energy solution of the control problem for a linear system produces a control trajectory that is nonlocal. An issue then arises when the dynamics represents a linearization of the underlying nonlinear dynamics of the system where the linearization is only valid in a local region of the state space. Here we provide a solution to the problem of optimally controlling a linearized system by deriving a time-varying set that represents all possible control trajectories parametrized by time and energy. As long as the control action terminus is defined within this set, the control trajectory is guaranteed to be local. If the desired terminus of the control action is far from the initial state, a series of local control actions can be performed in series, relinearizing the dynamics at each new position.}\n}\n\n
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\n It has recently been shown that the minimum energy solution of the control problem for a linear system produces a control trajectory that is nonlocal. An issue then arises when the dynamics represents a linearization of the underlying nonlinear dynamics of the system where the linearization is only valid in a local region of the state space. Here we provide a solution to the problem of optimally controlling a linearized system by deriving a time-varying set that represents all possible control trajectories parametrized by time and energy. As long as the control action terminus is defined within this set, the control trajectory is guaranteed to be local. If the desired terminus of the control action is far from the initial state, a series of local control actions can be performed in series, relinearizing the dynamics at each new position.\n
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\n \n\n \n \n \n \n \n Energy scaling of targeted optimal control of complex networks.\n \n \n \n\n\n \n Isaac Klickstein; Afroza Shirin; and Francesco Sorrentino.\n\n\n \n\n\n\n Nature communications, 8: 15145. 2017.\n \n\n\n\n
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@article{klickstein2017energy,\n  title={Energy scaling of targeted optimal control of complex networks},\n  author={Klickstein, Isaac and Shirin, Afroza and Sorrentino, Francesco},\n  journal={Nature communications},\n  volume={8},\n  pages={15145},\n  year={2017},\n  publisher={Nature Publishing Group}\n}\n\n
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\n \n\n \n \n \n \n \n Optimal control of complex networks: Balancing accuracy and energy of the control action.\n \n \n \n\n\n \n Afroza Shirin; Isaac S Klickstein; and Francesco Sorrentino.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 27(4): 041103. 2017.\n \n\n\n\n
\n\n\n\n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{shirin2017optimal,\n  title={Optimal control of complex networks: Balancing accuracy and energy of the control action},\n  author={Shirin, Afroza and Klickstein, Isaac S and Sorrentino, Francesco},\n  journal={Chaos: An Interdisciplinary Journal of Nonlinear Science},\n  volume={27},\n  number={4},\n  pages={041103},\n  year={2017},\n  publisher={AIP Publishing}\n}\n\n
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\n  \n 2016\n \n \n (3)\n \n \n
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\n \n\n \n \n \n \n \n Approximate cluster synchronization in networks with symmetries and parameter mismatches.\n \n \n \n\n\n \n Francesco Sorrentino; and Louis Pecora.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 26(9): 094823. 2016.\n \n\n\n\n
\n\n\n\n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{sorrentino2016approximate,\n  title={Approximate cluster synchronization in networks with symmetries and parameter mismatches},\n  author={Sorrentino, Francesco and Pecora, Louis},\n  journal={Chaos: An Interdisciplinary Journal of Nonlinear Science},\n  volume={26},\n  number={9},\n  pages={094823},\n  year={2016},\n  publisher={AIP Publishing}\n}\n\n
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\n \n\n \n \n \n \n \n Symmetry effects on naturally arising chimera states in mechanical oscillator networks.\n \n \n \n\n\n \n Karen Blaha; Ryan J Burrus; Jorge L Orozco-Mora; Elvia Ruiz-Beltrán; Abu B Siddique; VD Hatamipour; and Francesco Sorrentino.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 26(11): 116307. 2016.\n \n\n\n\n
\n\n\n\n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{blaha2016symmetry,\n  title={Symmetry effects on naturally arising chimera states in mechanical oscillator networks},\n  author={Blaha, Karen and Burrus, Ryan J and Orozco-Mora, Jorge L and Ruiz-Beltr{\\'a}n, Elvia and Siddique, Abu B and Hatamipour, VD and Sorrentino, Francesco},\n  journal={Chaos: An Interdisciplinary Journal of Nonlinear Science},\n  volume={26},\n  number={11},\n  pages={116307},\n  year={2016},\n  publisher={AIP Publishing}\n}\n\n
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\n \n\n \n \n \n \n \n Complete characterization of the stability of cluster synchronization in complex dynamical networks.\n \n \n \n\n\n \n Francesco Sorrentino; Louis M Pecora; Aaron M Hagerstrom; Thomas E Murphy; and Rajarshi Roy.\n\n\n \n\n\n\n Science advances, 2(4): e1501737. 2016.\n \n\n\n\n
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@article{sorrentino2016complete,\n  title={Complete characterization of the stability of cluster synchronization in complex dynamical networks},\n  author={Sorrentino, Francesco and Pecora, Louis M and Hagerstrom, Aaron M and Murphy, Thomas E and Roy, Rajarshi},\n  journal={Science advances},\n  volume={2},\n  number={4},\n  pages={e1501737},\n  year={2016},\n  publisher={American Association for the Advancement of Science}\n}\n\n
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\n  \n 2015\n \n \n (1)\n \n \n
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\n \n\n \n \n \n \n \n Structural permeability of complex networks to control signals.\n \n \n \n\n\n \n Francesco Lo Iudice; Franco Garofalo; and Francesco Sorrentino.\n\n\n \n\n\n\n Nature communications, 6: 8349. 2015.\n \n\n\n\n
\n\n\n\n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{iudice2015structural,\n  title={Structural permeability of complex networks to control signals},\n  author={Iudice, Francesco Lo and Garofalo, Franco and Sorrentino, Francesco},\n  journal={Nature communications},\n  volume={6},\n  pages={8349},\n  year={2015},\n  publisher={Nature Publishing Group}\n}\n\n
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\n  \n 2014\n \n \n (4)\n \n \n
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\n \n\n \n \n \n \n \n Cluster synchronization and isolated desynchronization in complex networks with symmetries.\n \n \n \n\n\n \n Louis M Pecora; Francesco Sorrentino; Aaron M Hagerstrom; Thomas E Murphy; and Rajarshi Roy.\n\n\n \n\n\n\n Nature communications, 5: 4079. 2014.\n \n\n\n\n
\n\n\n\n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{pecora2014cluster,\n  title={Cluster synchronization and isolated desynchronization in complex networks with symmetries},\n  author={Pecora, Louis M and Sorrentino, Francesco and Hagerstrom, Aaron M and Murphy, Thomas E and Roy, Rajarshi},\n  journal={Nature communications},\n  volume={5},\n  pages={4079},\n  year={2014},\n  publisher={Nature Publishing Group}\n}\n\n
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\n \n\n \n \n \n \n \n Inhibition causes ceaseless dynamics in networks of excitable nodes.\n \n \n \n\n\n \n Daniel B Larremore; Woodrow L Shew; Edward Ott; Francesco Sorrentino; and Juan G Restrepo.\n\n\n \n\n\n\n Physical review letters, 112(13): 138103. 2014.\n \n\n\n\n
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@article{larremore2014inhibition,\n  title={Inhibition causes ceaseless dynamics in networks of excitable nodes},\n  author={Larremore, Daniel B and Shew, Woodrow L and Ott, Edward and Sorrentino, Francesco and Restrepo, Juan G},\n  journal={Physical review letters},\n  volume={112},\n  number={13},\n  pages={138103},\n  year={2014},\n  publisher={APS}\n}\n\n
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\n \n\n \n \n \n \n \n Decentralized identification and control of networks of coupled mobile platforms through adaptive synchronization of chaos.\n \n \n \n\n\n \n Nicola Bezzo; Patricio J Cruz; Francesco Sorrentino; and Rafael Fierro.\n\n\n \n\n\n\n Physica D: Nonlinear Phenomena, 267: 94–103. 2014.\n \n\n\n\n
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@article{bezzo2014decentralized,\n  title={Decentralized identification and control of networks of coupled mobile platforms through adaptive synchronization of chaos},\n  author={Bezzo, Nicola and Cruz, Patricio J and Sorrentino, Francesco and Fierro, Rafael},\n  journal={Physica D: Nonlinear Phenomena},\n  volume={267},\n  pages={94--103},\n  year={2014},\n  publisher={Elsevier}\n}\n\n
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\n \n\n \n \n \n \n \n Stable formation of groups of robots via synchronization.\n \n \n \n\n\n \n Luis Valbuena; Patricio Cruz; Rafael Figueroa; Francesco Sorrentino; and Rafael Fierro.\n\n\n \n\n\n\n In Intelligent Robots and Systems (IROS 2014), 2014 IEEE/RSJ International Conference on, pages 376–381, Chicago, 2014. IEEE\n \n\n\n\n
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@inproceedings{valbuena2014stable,\n  title={Stable formation of groups of robots via synchronization},\n  author={Valbuena, Luis and Cruz, Patricio and Figueroa, Rafael and Sorrentino, Francesco and Fierro, Rafael},\n  booktitle={Intelligent Robots and Systems (IROS 2014), 2014 IEEE/RSJ International Conference on},\n  pages={376--381},\n  year={2014},\n  address={Chicago},\n  organization={IEEE}\n}\n\n
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\n  \n 2013\n \n \n (7)\n \n \n
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\n \n\n \n \n \n \n \n Synchronization states and multistability in a ring of periodic oscillators: Experimentally variable coupling delays.\n \n \n \n\n\n \n Caitlin RS Williams; Francesco Sorrentino; Thomas E Murphy; and Rajarshi Roy.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 23(4): 043117. 2013.\n \n\n\n\n
\n\n\n\n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{williams2013synchronization,\n  title={Synchronization states and multistability in a ring of periodic oscillators: Experimentally variable coupling delays},\n  author={Williams, Caitlin RS and Sorrentino, Francesco and Murphy, Thomas E and Roy, Rajarshi},\n  journal={Chaos: An Interdisciplinary Journal of Nonlinear Science},\n  volume={23},\n  number={4},\n  pages={043117},\n  year={2013},\n  publisher={AIP}\n}\n\n
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\n \n\n \n \n \n \n \n Modeling the dynamics of bivalent histone modifications.\n \n \n \n\n\n \n Wai Lim Ku; Michelle Girvan; Guo-Cheng Yuan; Francesco Sorrentino; and Edward Ott.\n\n\n \n\n\n\n PloS one, 8(11): e77944. 2013.\n \n\n\n\n
\n\n\n\n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{ku2013modeling,\n  title={Modeling the dynamics of bivalent histone modifications},\n  author={Ku, Wai Lim and Girvan, Michelle and Yuan, Guo-Cheng and Sorrentino, Francesco and Ott, Edward},\n  journal={PloS one},\n  volume={8},\n  number={11},\n  pages={e77944},\n  year={2013},\n  publisher={Public Library of Science}\n}\n\n
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\n \n\n \n \n \n \n \n Estimating the structure of small dynamical networks from the state time evolution of one node.\n \n \n \n\n\n \n Raffaele Autariello; Rhonda Dzakpasu; and Francesco Sorrentino.\n\n\n \n\n\n\n Physical Review E, 87(1): 012915. 2013.\n \n\n\n\n
\n\n\n\n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{autariello2013estimating,\n  title={Estimating the structure of small dynamical networks from the state time evolution of one node},\n  author={Autariello, Raffaele and Dzakpasu, Rhonda and Sorrentino, Francesco},\n  journal={Physical Review E},\n  volume={87},\n  number={1},\n  pages={012915},\n  year={2013},\n  publisher={APS}\n}\n\n
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\n \n\n \n \n \n \n \n Experimental observations of group synchrony in a system of chaotic optoelectronic oscillators.\n \n \n \n\n\n \n Caitlin RS Williams; Thomas E Murphy; Rajarshi Roy; Francesco Sorrentino; Thomas Dahms; and Eckehard Schöll.\n\n\n \n\n\n\n Physical review letters, 110(6): 064104. 2013.\n \n\n\n\n
\n\n\n\n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{williams2013experimental,\n  title={Experimental observations of group synchrony in a system of chaotic optoelectronic oscillators},\n  author={Williams, Caitlin RS and Murphy, Thomas E and Roy, Rajarshi and Sorrentino, Francesco and Dahms, Thomas and Sch{\\"o}ll, Eckehard},\n  journal={Physical review letters},\n  volume={110},\n  number={6},\n  pages={064104},\n  year={2013},\n  publisher={APS}\n}\n\n
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\n \n\n \n \n \n \n \n Bayesian hybrid estimation of lti networked systems using finite set statistics.\n \n \n \n\n\n \n Islam I Hussein; Francesco Sorrentino; and Richard Scott Erwin.\n\n\n \n\n\n\n In American Control Conference (ACC), 2013, pages 396–401, 2013. IEEE\n \n\n\n\n
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@inproceedings{hussein2013bayesian,\n  title={Bayesian hybrid estimation of lti networked systems using finite set statistics},\n  author={Hussein, Islam I and Sorrentino, Francesco and Erwin, Richard Scott},\n  booktitle={American Control Conference (ACC), 2013},\n  pages={396--401},\n  year={2013},\n  organization={IEEE}\n}\n\n
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\n \n\n \n \n \n \n \n Decentralized estimation of topology changes in wireless robotic networks.\n \n \n \n\n\n \n Nicola Bezzo; Francesco Sorrentino; and Rafael Fierro.\n\n\n \n\n\n\n In American Control Conference (ACC), 2013, pages 5899–5904, 2013. IEEE\n \n\n\n\n
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@inproceedings{bezzo2013decentralized,\n  title={Decentralized estimation of topology changes in wireless robotic networks},\n  author={Bezzo, Nicola and Sorrentino, Francesco and Fierro, Rafael},\n  booktitle={American Control Conference (ACC), 2013},\n  pages={5899--5904},\n  year={2013},\n  organization={IEEE}\n}\n\n
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\n \n\n \n \n \n \n \n Stability analysis of a model for the market dynamics of a smart grid.\n \n \n \n\n\n \n Francesco Sorrentino; Domagoj Tolic; Rafael Fierro; JR Gordon; and Andrea Mammoli.\n\n\n \n\n\n\n In Decision and Control, 52nd IEEE Conference on, pages 4964–4970, 2013. \n \n\n\n\n
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@inproceedings{sorrentino2013stability,\n  title={Stability analysis of a model for the market dynamics of a smart grid},\n  author={Sorrentino, Francesco and Tolic, Domagoj and Fierro, Rafael and Gordon, JR and Mammoli, Andrea},\n  booktitle={Decision and Control, 52nd IEEE Conference on},\n  year={2013},\n  pages={4964--4970}\n}\n\n
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\n  \n 2012\n \n \n (3)\n \n \n
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\n \n\n \n \n \n \n \n Synchronization of dynamical hypernetworks: Dimensionality reduction through simultaneous block-diagonalization of matrices.\n \n \n \n\n\n \n Daniel Irving; and Francesco Sorrentino.\n\n\n \n\n\n\n Physical Review E, 86(5): 056102. 2012.\n \n\n\n\n
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@article{irving2012synchronization,\n  title={Synchronization of dynamical hypernetworks: Dimensionality reduction through simultaneous block-diagonalization of matrices},\n  author={Irving, Daniel and Sorrentino, Francesco},\n  journal={Physical Review E},\n  volume={86},\n  number={5},\n  pages={056102},\n  year={2012},\n  publisher={APS}\n}\n\n
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\n \n\n \n \n \n \n \n Estimation of communication-delays through adaptive synchronization of chaos.\n \n \n \n\n\n \n Francesco Sorrentino; and Pietro DeLellis.\n\n\n \n\n\n\n Chaos, Solitons & Fractals, 45(1): 35–46. 2012.\n \n\n\n\n
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@article{sorrentino2012estimation,\n  title={Estimation of communication-delays through adaptive synchronization of chaos},\n  author={Sorrentino, Francesco and DeLellis, Pietro},\n  journal={Chaos, Solitons \\& Fractals},\n  volume={45},\n  number={1},\n  pages={35--46},\n  year={2012},\n  publisher={Elsevier}\n}\n\n
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\n \n\n \n \n \n \n \n Synchronization of hypernetworks of coupled dynamical systems.\n \n \n \n\n\n \n Francesco Sorrentino.\n\n\n \n\n\n\n New Journal of Physics, 14(3): 033035. 2012.\n \n\n\n\n
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@article{sorrentino2012synchronization,\n  title={Synchronization of hypernetworks of coupled dynamical systems},\n  author={Sorrentino, Francesco},\n  journal={New Journal of Physics},\n  volume={14},\n  number={3},\n  pages={033035},\n  year={2012},\n  publisher={IOP Publishing}\n}\n\n
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\n  \n 2011\n \n \n (2)\n \n \n
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\n \n\n \n \n \n \n \n Stability of strategies in payoff-driven evolutionary games on networks.\n \n \n \n\n\n \n Francesco Sorrentino; and Nicholas Mecholsky.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 21(3): 033110. 2011.\n \n\n\n\n
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@article{sorrentino2011stability,\n  title={Stability of strategies in payoff-driven evolutionary games on networks},\n  author={Sorrentino, Francesco and Mecholsky, Nicholas},\n  journal={Chaos: An Interdisciplinary Journal of Nonlinear Science},\n  volume={21},\n  number={3},\n  pages={033110},\n  year={2011},\n  publisher={AIP}\n}\n\n
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\n \n\n \n \n \n \n \n Analysis of parameter mismatches in the master stability function for network synchronization.\n \n \n \n\n\n \n Francesco Sorrentino; and Maurizio Porfiri.\n\n\n \n\n\n\n EPL (Europhysics Letters), 93(5): 50002. 2011.\n \n\n\n\n
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@article{sorrentino2011analysis,\n  title={Analysis of parameter mismatches in the master stability function for network synchronization},\n  author={Sorrentino, Francesco and Porfiri, Maurizio},\n  journal={EPL (Europhysics Letters)},\n  volume={93},\n  number={5},\n  pages={50002},\n  year={2011},\n  publisher={IOP Publishing}\n}\n\n
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\n  \n 2010\n \n \n (3)\n \n \n
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\n \n\n \n \n \n \n \n Dynamic synchronization of a time-evolving optical network of chaotic oscillators.\n \n \n \n\n\n \n Adam B Cohen; Bhargava Ravoori; Francesco Sorrentino; Thomas E Murphy; Edward Ott; and Rajarshi Roy.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 20(4): 043142. 2010.\n \n\n\n\n
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@article{cohen2010dynamic,\n  title={Dynamic synchronization of a time-evolving optical network of chaotic oscillators},\n  author={Cohen, Adam B and Ravoori, Bhargava and Sorrentino, Francesco and Murphy, Thomas E and Ott, Edward and Roy, Rajarshi},\n  journal={Chaos: An Interdisciplinary Journal of Nonlinear Science},\n  volume={20},\n  number={4},\n  pages={043142},\n  year={2010},\n  publisher={AIP}\n}\n\n
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\n \n\n \n \n \n \n \n The stability of adaptive synchronization of chaotic systems.\n \n \n \n\n\n \n Francesco Sorrentino; Gilad Barlev; Adam B Cohen; and Edward Ott.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 20(1): 013103. 2010.\n \n\n\n\n
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@article{sorrentino2010stability,\n  title={The stability of adaptive synchronization of chaotic systems},\n  author={Sorrentino, Francesco and Barlev, Gilad and Cohen, Adam B and Ott, Edward},\n  journal={Chaos: An Interdisciplinary Journal of Nonlinear Science},\n  volume={20},\n  number={1},\n  pages={013103},\n  year={2010},\n  publisher={AIP}\n}\n\n
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\n \n\n \n \n \n \n \n Complex dynamics and synchronization of delayed-feedback nonlinear oscillators.\n \n \n \n\n\n \n Thomas E Murphy; Adam B Cohen; Bhargava Ravoori; Karl RB Schmitt; Anurag V Setty; Francesco Sorrentino; Caitlin RS Williams; Edward Ott; and Rajarshi Roy.\n\n\n \n\n\n\n Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 368(1911): 343–366. 2010.\n \n\n\n\n
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@article{murphy2010complex,\n  title={Complex dynamics and synchronization of delayed-feedback nonlinear oscillators},\n  author={Murphy, Thomas E and Cohen, Adam B and Ravoori, Bhargava and Schmitt, Karl RB and Setty, Anurag V and Sorrentino, Francesco and Williams, Caitlin RS and Ott, Edward and Roy, Rajarshi},\n  journal={Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences},\n  volume={368},\n  number={1911},\n  pages={343--366},\n  year={2010},\n  publisher={The Royal Society}\n}\n\n
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\n  \n 2009\n \n \n (4)\n \n \n
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\n \n\n \n \n \n \n \n Adaptive synchronization of coupled chaotic oscillators.\n \n \n \n\n\n \n Bhargava Ravoori; Adam B Cohen; Anurag V Setty; Francesco Sorrentino; Thomas E Murphy; Edward Ott; and Rajarshi Roy.\n\n\n \n\n\n\n Physical Review E, 80(5): 056205. 2009.\n \n\n\n\n
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@article{ravoori2009adaptive,\n  title={Adaptive synchronization of coupled chaotic oscillators},\n  author={Ravoori, Bhargava and Cohen, Adam B and Setty, Anurag V and Sorrentino, Francesco and Murphy, Thomas E and Ott, Edward and Roy, Rajarshi},\n  journal={Physical Review E},\n  volume={80},\n  number={5},\n  pages={056205},\n  year={2009},\n  publisher={APS}\n}\n\n
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\n \n\n \n \n \n \n \n Adaptive coupling for achieving stable synchronization of chaos.\n \n \n \n\n\n \n Francesco Sorrentino.\n\n\n \n\n\n\n Physical Review E, 80(5): 056206. 2009.\n \n\n\n\n
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@article{sorrentino2009adaptive,\n  title={Adaptive coupling for achieving stable synchronization of chaos},\n  author={Sorrentino, Francesco},\n  journal={Physical Review E},\n  volume={80},\n  number={5},\n  pages={056206},\n  year={2009},\n  publisher={APS},\n  abstract={We consider synchronization of coupled chaotic systems and propose an adaptive strategy that aims at evolving the strength of the coupling to achieve stability of the synchronized evolution. We test this idea in a simple configuration in which two chaotic systems (a sender and a receiver) are unidirectionally coupled and we study the conditions for the receiver to adaptively synchronize with the sender. Numerical simulations show that, under certain conditions, our strategy is successful in dynamically evolving the coupling strength until it converges to a value that is compatible with synchronization.}\n}\n\n
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\n We consider synchronization of coupled chaotic systems and propose an adaptive strategy that aims at evolving the strength of the coupling to achieve stability of the synchronized evolution. We test this idea in a simple configuration in which two chaotic systems (a sender and a receiver) are unidirectionally coupled and we study the conditions for the receiver to adaptively synchronize with the sender. Numerical simulations show that, under certain conditions, our strategy is successful in dynamically evolving the coupling strength until it converges to a value that is compatible with synchronization.\n
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\n \n\n \n \n \n \n \n Using synchronization of chaos to identify the dynamics of unknown systems.\n \n \n \n\n\n \n Francesco Sorrentino; and Edward Ott.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 19(3): 033108. 2009.\n \n\n\n\n
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@article{sorrentino2009using,\n  title={Using synchronization of chaos to identify the dynamics of unknown systems},\n  author={Sorrentino, Francesco and Ott, Edward},\n  journal={Chaos: An Interdisciplinary Journal of Nonlinear Science},\n  volume={19},\n  number={3},\n  pages={033108},\n  year={2009},\n  publisher={AIP}\n}\n\n
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\n \n\n \n \n \n \n \n Using synchronism of chaos for adaptive learning of time-evolving network topology.\n \n \n \n\n\n \n Francesco Sorrentino; and Edward Ott.\n\n\n \n\n\n\n Physical Review E, 79(1): 016201. 2009.\n \n\n\n\n
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@article{sorrentino2009usingb,\n  title={Using synchronism of chaos for adaptive learning of time-evolving network topology},\n  author={Sorrentino, Francesco and Ott, Edward},\n  journal={Physical Review E},\n  volume={79},\n  number={1},\n  pages={016201},\n  year={2009},\n  publisher={APS}\n}\n\n
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\n  \n 2008\n \n \n (2)\n \n \n
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\n \n\n \n \n \n \n \n Adaptive synchronization of dynamics on evolving complex networks.\n \n \n \n\n\n \n Francesco Sorrentino; and Edward Ott.\n\n\n \n\n\n\n Physical review letters, 100(11): 114101. 2008.\n \n\n\n\n
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@article{sorrentino2008adaptive,\n  title={Adaptive synchronization of dynamics on evolving complex networks},\n  author={Sorrentino, Francesco and Ott, Edward},\n  journal={Physical review letters},\n  volume={100},\n  number={11},\n  pages={114101},\n  year={2008},\n  publisher={APS}\n}\n\n
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\n \n\n \n \n \n \n \n Adaptive synchronization of complex networks.\n \n \n \n\n\n \n Pietro De Lellis; Mario Di Bernardo; Francesco Sorrentino; and Antonio Tierno.\n\n\n \n\n\n\n International Journal of Computer Mathematics, 85(8): 1189–1218. 2008.\n \n\n\n\n
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@article{de2008adaptive,\n  title={Adaptive synchronization of complex networks},\n  author={De Lellis, Pietro and Di Bernardo, Mario and Sorrentino, Francesco and Tierno, Antonio},\n  journal={International Journal of Computer Mathematics},\n  volume={85},\n  number={8},\n  pages={1189--1218},\n  year={2008},\n  publisher={Taylor \\& Francis}\n}\n\n
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\n  \n 2007\n \n \n (6)\n \n \n
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\n \n\n \n \n \n \n \n Controllability of complex networks via pinning.\n \n \n \n\n\n \n Francesco Sorrentino; Mario Di Bernardo; Franco Garofalo; and Guanrong Chen.\n\n\n \n\n\n\n Physical Review E, 75(4): 046103. 2007.\n \n\n\n\n
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@article{sorrentino2007controllability,\n  title={Controllability of complex networks via pinning},\n  author={Sorrentino, Francesco and Di Bernardo, Mario and Garofalo, Franco and Chen, Guanrong},\n  journal={Physical Review E},\n  volume={75},\n  number={4},\n  pages={046103},\n  year={2007},\n  publisher={APS}\n}\n\n
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\n \n\n \n \n \n \n \n Effects of degree correlation on the synchronization of networks of oscillators.\n \n \n \n\n\n \n Mario Bernardo; Franco Garofalo; and Francesco Sorrentino.\n\n\n \n\n\n\n International Journal of Bifurcation and Chaos, 17(10): 3499–3506. 2007.\n \n\n\n\n
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@article{di2007effects,\n  title={Effects of degree correlation on the synchronization of networks of oscillators},\n  author={di Bernardo, Mario and Garofalo, Franco and Sorrentino, Francesco},\n  journal={International Journal of Bifurcation and Chaos},\n  volume={17},\n  number={10},\n  pages={3499--3506},\n  year={2007},\n  publisher={World Scientific}\n}\n\n
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\n \n\n \n \n \n \n \n Effects of the network structural properties on its controllability.\n \n \n \n\n\n \n Francesco Sorrentino.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 17(3): 033101. 2007.\n \n\n\n\n
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@article{sorrentino2007effects,\n  title={Effects of the network structural properties on its controllability},\n  author={Sorrentino, Francesco},\n  journal={Chaos: An Interdisciplinary Journal of Nonlinear Science},\n  volume={17},\n  number={3},\n  pages={033101},\n  year={2007},\n  publisher={AIP}\n}\n\n
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\n \n\n \n \n \n \n \n Network synchronization of groups.\n \n \n \n\n\n \n Francesco Sorrentino; and Edward Ott.\n\n\n \n\n\n\n Physical Review E, 76(5): 056114. 2007.\n \n\n\n\n
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@article{sorrentino2007network,\n  title={Network synchronization of groups},\n  author={Sorrentino, Francesco and Ott, Edward},\n  journal={Physical Review E},\n  volume={76},\n  number={5},\n  pages={056114},\n  year={2007},\n  publisher={APS}\n}\n\n
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\n \n\n \n \n \n \n \n Synchronizability and synchronization dynamics of weighed and unweighed scale free networks with degree mixing.\n \n \n \n\n\n \n Francesco Sorrentino; Mario Di Bernardo; and Franco Garofalo.\n\n\n \n\n\n\n International Journal of Bifurcation and Chaos, 17(07): 2419–2434. 2007.\n \n\n\n\n
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@article{sorrentino2007synchronizability,\n  title={Synchronizability and synchronization dynamics of weighed and unweighed scale free networks with degree mixing},\n  author={Sorrentino, Francesco and Di Bernardo, Mario and Garofalo, Franco},\n  journal={International Journal of Bifurcation and Chaos},\n  volume={17},\n  number={07},\n  pages={2419--2434},\n  year={2007},\n  publisher={World Scientific}\n}\n\n
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\n \n\n \n \n \n \n \n Diffusion of innovations in a social network: The influence of network topology.\n \n \n \n\n\n \n Pietro De Lellis; Mario Di Bernardo; Francesco Garofalo; S Manfredi; and Francesco Sorrentino.\n\n\n \n\n\n\n In Global Information Technology Management Association, Naples, 2007. \n \n\n\n\n
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@inproceedings{delellis2007diffusion,\n  title={Diffusion of innovations in a social network: The influence of network topology},\n  author={De Lellis, Pietro and Di Bernardo, Mario and Garofalo, Francesco and Manfredi, S and Sorrentino, Francesco},\n  booktitle={Global Information Technology Management Association},\n  year={2007},\n  address={Naples}\n}\n\n
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\n  \n 2006\n \n \n (4)\n \n \n
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\n \n\n \n \n \n \n \n Synchronization in weighted scale-free networks with degree–degree correlation.\n \n \n \n\n\n \n Francesco Sorrentino; Mario Di Bernardo; Guillermo Huerta Cuéllar; and Stefano Boccaletti.\n\n\n \n\n\n\n Physica D: nonlinear phenomena, 224(1-2): 123–129. 2006.\n \n\n\n\n
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@article{sorrentino2006synchronization,\n  title={Synchronization in weighted scale-free networks with degree--degree correlation},\n  author={Sorrentino, Francesco and Di Bernardo, Mario and Cu\\'{e}llar, Guillermo Huerta and Boccaletti, Stefano},\n  journal={Physica D: nonlinear phenomena},\n  volume={224},\n  number={1-2},\n  pages={123--129},\n  year={2006},\n  publisher={Elsevier}\n}\n\n
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\n \n\n \n \n \n \n \n Communication models with distributed transmission rates and buffer sizes.\n \n \n \n\n\n \n David Arrowsmith; Mario Bernardo; and Francesco Sorrentino.\n\n\n \n\n\n\n In Circuits and Systems, 2006. ISCAS 2006. Proceedings. 2006 IEEE International Symposium on, pages 4–pp, Island of Kos, Greece, 2006. IEEE\n \n\n\n\n
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@inproceedings{arrowsmith2006communication,\n  title={Communication models with distributed transmission rates and buffer sizes},\n  author={Arrowsmith, David and di Bernardo, Mario and Sorrentino, Francesco},\n  booktitle={Circuits and Systems, 2006. ISCAS 2006. Proceedings. 2006 IEEE International Symposium on},\n  pages={4--pp},\n  year={2006},\n  organization={IEEE},\n  address={Island of Kos, Greece}\n}\n\n
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\n \n\n \n \n \n \n \n Network structural properties, communication models and traffic dynamics.\n \n \n \n\n\n \n Mario Bernardo; and Francesco Sorrentino.\n\n\n \n\n\n\n In NOLTA, pages 659–662, Bologna, 2006. \n \n\n\n\n
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@inproceedings{dibernardo2006network,\n  title={Network structural properties, communication models and traffic dynamics},\n  author={di Bernardo, Mario and Sorrentino, Francesco},\n  booktitle={NOLTA},\n  year={2006},\n  pages={659--662},\n  address={Bologna}\n}\n\n
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\n \n\n \n \n \n \n \n State-feedback control of complex dynamical networks.\n \n \n \n\n\n \n Zhengping Fan; Francesco Sorrentino; Mario Bernardo; and Guanrong Chen.\n\n\n \n\n\n\n In NOLTA, pages 555–558, Bologna, 2006. \n \n\n\n\n
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@inproceedings{fan2006state,\n  title={State-feedback control of complex dynamical networks},\n  author={Fan, Zhengping and Sorrentino, Francesco and di Bernardo, Mario and Chen, Guanrong},\n  booktitle={NOLTA},\n  year={2006},\n  pages={555--558},\n  address={Bologna}\n}\n\n
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\n  \n 2005\n \n \n (4)\n \n \n
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\n \n\n \n \n \n \n \n Effects of degree correlation on the synchronizability of networks of nonlinear oscillators.\n \n \n \n\n\n \n Mario Bernardo; Franco Garofalo; and Francesco Sorrentino.\n\n\n \n\n\n\n In Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC'05. 44th IEEE Conference on, pages 4616–4621, Seville, Spain, 2005. IEEE\n \n\n\n\n
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@inproceedings{di2005effects,\n  title={Effects of degree correlation on the synchronizability of networks of nonlinear oscillators},\n  author={di Bernardo, Mario and Garofalo, Franco and Sorrentino, Francesco},\n  booktitle={Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC'05. 44th IEEE Conference on},\n  pages={4616--4621},\n  year={2005},\n  organization={IEEE},\n  address={Seville, Spain}\n}\n\n
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\n \n\n \n \n \n \n \n Effects of variations of load distribution on network performance.\n \n \n \n\n\n \n David Arrowsmith; Mario Di Bernardo; and Francesco Sorrentino.\n\n\n \n\n\n\n In Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on, pages 3773–3776, Kobe, Japan, 2005. IEEE\n \n\n\n\n
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@inproceedings{arrowsmith2005effects,\n  title={Effects of variations of load distribution on network performance},\n  author={Arrowsmith, David and Di Bernardo, Mario and Sorrentino, Francesco},\n  booktitle={Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on},\n  pages={3773--3776},\n  year={2005},\n  organization={IEEE},\n  address={Kobe, Japan}\n}\n\n
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\n \n\n \n \n \n \n \n Load distribution in small world networks.\n \n \n \n\n\n \n M Di Bernardo; F Garofalo; S Manfredi; and F Sorrentino.\n\n\n \n\n\n\n In Physics and Control, 2005. Proceedings. 2005 International Conference, pages 100–105, San Pietroburgo, Russia, 2005. IEEE\n \n\n\n\n
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@inproceedings{di2005load,\n  title={Load distribution in small world networks},\n  author={Di Bernardo, M and Garofalo, F and Manfredi, S and Sorrentino, F},\n  booktitle={Physics and Control, 2005. Proceedings. 2005 International Conference},\n  pages={100--105},\n  year={2005},\n  organization={IEEE},\n  address={San Pietroburgo, Russia}\n}\n\n
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\n \n\n \n \n \n \n \n Temporal synchronization of degree correlated networks of Roessler oscillators.\n \n \n \n\n\n \n Francesco Sorrentino; Mario Bernardo; and Franco Garofalo.\n\n\n \n\n\n\n In Proceedings NDES-05, Potsdam, Germany, 2005. \n \n\n\n\n
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@inproceedings{sorrentino2005temporal,\n  title={Temporal synchronization of degree correlated networks of Roessler oscillators},\n  author={Sorrentino, Francesco and di Bernardo, Mario and Garofalo, Franco},\n  booktitle={Proceedings NDES-05},\n  year={2005},\n  address={Potsdam, Germany}\n}\n
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