COHERENCE RESONANCE AND SYNCHRONIZATION OF STOCHASTIC SELF-SUSTAINED OSCILLATIONS IN THE FITZHUGH–NAGUMO SYSTEM


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Feoktistov А. V., Astakhov S. V., Anishenko V. S. COHERENCE RESONANCE AND SYNCHRONIZATION OF STOCHASTIC SELF-SUSTAINED OSCILLATIONS IN THE FITZHUGH–NAGUMO SYSTEM. Izvestiya VUZ, Applied Nonlinear Dynamics, 2010, vol. 18, iss. 5, pp. 33-43 DOI: 10.18500/0869-6632-2010-18-5-33-43


In present paper the phenomena of coherence resonance, mutual and external synchronization of noise-induced stochastic oscillations in FitzHugh–Nagumo system are studied by means of numerical and natural experiments. The properties of attractor in the system as well as energy exchange processes are analyzed. Self-sustained character of stochastic oscillations in non-autonomous FitzHugh–Nagumo system justified.

DOI: 
10.18500/0869-6632-2010-18-5-33-43
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BibTeX

@article{Феоктистов -IzvVUZ_AND-18-5-33,
author = {А. V. Feoktistov and S. V. Astakhov and Vadim S. Anishenko},
title = {COHERENCE RESONANCE AND SYNCHRONIZATION OF STOCHASTIC SELF-SUSTAINED OSCILLATIONS IN THE FITZHUGH–NAGUMO SYSTEM},
year = {2010},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {18},number = {5},
url = {http://andjournal.sgu.ru/en/articles/coherence-resonance-and-synchronization-of-stochastic-self-sustained-oscillations-in-the},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2010-18-5-33-43},pages = {33--43},issn = {0869-6632},
keywords = {coherence resonance,synchronization,stochastic self-sustained oscillations,FitzHugh–Nagumo system,noise-induced oscillations.},
abstract = {In present paper the phenomena of coherence resonance, mutual and external synchronization of noise-induced stochastic oscillations in FitzHugh–Nagumo system are studied by means of numerical and natural experiments. The properties of attractor in the system as well as energy exchange processes are analyzed. Self-sustained character of stochastic oscillations in non-autonomous FitzHugh–Nagumo system justified. }}