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Regular and Chaotic Dynamics, 2018, Volume 23, Issue 4, Pages 458–470
DOI: https://doi.org/10.1134/S1560354718040068 (Mi rcd333) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Hyperbolic Chaos in Systems Based on FitzHugh–Nagumo Model Neurons

Sergey P. Kuznetsovab, Yuliya V. Sedovab

a Kotel’nikov’s Institute of Radio-Engineering and Electronics of RAS, Saratov Branch, ul. Zelenaya 38, Saratov, 410019 Russia
b Udmurt State University, ul. Universitetskay 1, Izhevsk, 426034 Russia
Citations (6)
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DOI: https://doi.org/10.1134/S1560354718040068
Abstract: In the present paper we consider and study numerically two systems based on model FitzHugh–Nagumo neurons, where in the presence of periodic modulation of parameters it is possible to implement chaotic dynamics on the attractor in the form of a Smale–Williams solenoid in the stroboscopic Poincaré map. In particular, hyperbolic chaos characterized by structural stability occurs in a single neuron supplemented by a time-delay feedback loop with a quadratic nonlinear element.
Keywords: hyperbolic chaos, Smale–Williams solenoid, FitzHugh–Nagumo neuron, time-delay system.
Funding agency Grant number
Russian Science Foundation 17-12-01008
This work was supported by the Russian Science Foundation (grant No 17-12-01008).
Received: 06.05.2018
Accepted: 04.06.2018
Bibliographic databases:
Document Type: Article
MSC: 37D05, 37D20, 37D45, 37M25, 82C32, 92B20
Language: English
Citation: Sergey P. Kuznetsov, Yuliya V. Sedova, “Hyperbolic Chaos in Systems Based on FitzHugh–Nagumo Model Neurons”, Regul. Chaotic Dyn., 23:4 (2018), 458–470
Citation in format AMSBIB
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\by Sergey P. Kuznetsov, Yuliya V. Sedova
\paper Hyperbolic Chaos in Systems Based on FitzHugh–Nagumo Model Neurons
\jour Regul. Chaotic Dyn.
\yr 2018
\vol 23
\issue 4
\pages 458--470
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:27
     
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