ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Feoktistov A. V., Astahov S. V., Anishchenko 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

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
537.86/.87:530.182
DOI: 
10.18500/0869-6632-2010-18-5-33-43

Coherence resonance and synchronization of stochastic self-sustained oscillations in the FitzHugh–Nagumo system

Autors: 
Feoktistov Aleksej Vladimirovich, Saratov State University
Astahov Sergej Vladimirovich, Saratov State University
Anishchenko Vadim Semenovich, Saratov State University
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.

Key words: 
coherence resonance
synchronization
stochastic self-sustained oscillations
FitzHugh–Nagumo system
noise-induced oscillations
Reference: 
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Received: 
26.03.2010
Accepted: 
03.11.2010
Published: 
31.12.2010
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