Deterministic force-free resonant activation. Capała, K. & Dybiec, B. Journal of Statistical Mechanics: Theory and Experiment, 2021(2):023203, IOP Publishing, 2021.
Deterministic force-free resonant activation [link]Paper  doi  abstract   bibtex   
The combined action of noise and deterministic force in dynamical systems can induce resonant effects. Here, we demonstrate a minimal, deterministic force-free setup allowing for the occurrence of resonant, noise-induced effects. We show that in the archetypal problem of escape from finite intervals driven by α-stale noise with a periodically modulated stability index, depending on the initial direction of the modulation, resonant-activation-like or noise-enhanced-stability-like phenomena can be observed. Consequently, in comparison to traditional Lévy flights, Lévy flights with a time-dependent jump length exponent are capable of facilitating or slowing down the escape from finite intervals in an analogous way, such as the modulation of the potential in the resonant activation setup.
@article{Capala_2021,
	doi = {10.1088/1742-5468/abd939},
	url = {https://doi.org/10.1088/1742-5468/abd939},
	year = {2021},
	publisher = {{IOP} Publishing},
	volume = {2021},
	number = {2},
	pages = {023203},
	author = {Capała, K. and Dybiec, B.},
	title = {Deterministic force-free resonant activation},
	journal = {Journal of Statistical Mechanics: Theory and Experiment},
	abstract = {The combined action of noise and deterministic force in dynamical systems can induce resonant effects. Here, we demonstrate a minimal, deterministic force-free setup allowing for the occurrence of resonant, noise-induced effects. We show that in the archetypal problem of escape from finite intervals driven by α-stale noise with a periodically modulated stability index, depending on the initial direction of the modulation, resonant-activation-like or noise-enhanced-stability-like phenomena can be observed. Consequently, in comparison to traditional Lévy flights, Lévy flights with a time-dependent jump length exponent are capable of facilitating or slowing down the escape from finite intervals in an analogous way, such as the modulation of the potential in the resonant activation setup.}
}

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