On detection of multi-band chaotic attractors. Avrutin, V., Eckstein, B., & Schanz, M. Proc. R. Soc. A, 463:1339-1358, 2007. doi bibtex @article{AvrEckSch07,
author = {V. Avrutin and B. Eckstein and M. Schanz},
title = {On detection of multi-band chaotic attractors},
journal = {Proc. R. Soc. A},
year = {2007},
volume = {463},
pages = {1339-1358},
doi = {10.1098/rspa.2007.1826},
optannote = {In this work, we present two numerical methods for the detection of
the number of bands of a multi-band chaotic attractor. The first
method is more efficient but can be applied only for dynamical systems
with a continuous system function, whereas the second one is applicable
for dynamical systems with a discontinuous system function as well.
Using the developed methods, we investigate a one-dimensional piecewise-linear
map and report for both cases of a continuous and a discontinuous
system functions some new bifurcation scenarios involving multi-band
chaotic attractors. http://www.journals.royalsoc.ac.uk/link.asp?id=lm546n3121576748},
optmonth = {May 08},
optnumber = {2081}
}
Downloads: 0
{"_id":"9FAuxd6AZZdp77iSp","bibbaseid":"avrutin-eckstein-schanz-ondetectionofmultibandchaoticattractors-2007","downloads":0,"creationDate":"2016-03-16T12:28:20.373Z","title":"On detection of multi-band chaotic attractors","author_short":["Avrutin, V.","Eckstein, B.","Schanz, M."],"year":2007,"bibtype":"article","biburl":"https://dl.dropboxusercontent.com/u/52541701/my_papers.bib","bibdata":{"bibtype":"article","type":"article","author":[{"firstnames":["V."],"propositions":[],"lastnames":["Avrutin"],"suffixes":[]},{"firstnames":["B."],"propositions":[],"lastnames":["Eckstein"],"suffixes":[]},{"firstnames":["M."],"propositions":[],"lastnames":["Schanz"],"suffixes":[]}],"title":"On detection of multi-band chaotic attractors","journal":"Proc. R. Soc. A","year":"2007","volume":"463","pages":"1339-1358","doi":"10.1098/rspa.2007.1826","optannote":"In this work, we present two numerical methods for the detection of the number of bands of a multi-band chaotic attractor. The first method is more efficient but can be applied only for dynamical systems with a continuous system function, whereas the second one is applicable for dynamical systems with a discontinuous system function as well. Using the developed methods, we investigate a one-dimensional piecewise-linear map and report for both cases of a continuous and a discontinuous system functions some new bifurcation scenarios involving multi-band chaotic attractors. http://www.journals.royalsoc.ac.uk/link.asp?id=lm546n3121576748","optmonth":"May 08","optnumber":"2081","bibtex":"@article{AvrEckSch07,\n author = {V. Avrutin and B. Eckstein and M. Schanz},\n title = {On detection of multi-band chaotic attractors},\n journal = {Proc. R. Soc. A},\n year = {2007},\n volume = {463},\n pages = {1339-1358},\n doi = {10.1098/rspa.2007.1826},\n optannote = {In this work, we present two numerical methods for the detection of\n\tthe number of bands of a multi-band chaotic attractor. The first\n\tmethod is more efficient but can be applied only for dynamical systems\n\twith a continuous system function, whereas the second one is applicable\n\tfor dynamical systems with a discontinuous system function as well.\n\tUsing the developed methods, we investigate a one-dimensional piecewise-linear\n\tmap and report for both cases of a continuous and a discontinuous\n\tsystem functions some new bifurcation scenarios involving multi-band\n\tchaotic attractors. http://www.journals.royalsoc.ac.uk/link.asp?id=lm546n3121576748},\n optmonth = {May 08},\n optnumber = {2081}\n}\n\n","author_short":["Avrutin, V.","Eckstein, B.","Schanz, M."],"key":"AvrEckSch07","id":"AvrEckSch07","bibbaseid":"avrutin-eckstein-schanz-ondetectionofmultibandchaoticattractors-2007","role":"author","urls":{},"downloads":0,"html":""},"search_terms":["detection","multi","band","chaotic","attractors","avrutin","eckstein","schanz"],"keywords":[],"authorIDs":[],"dataSources":["pbunAzSL3t3ojyZfy"]}