Email this article Hyperbolic Chaos in Systems Based on FitzHugh – Nagumo Model Neurons
- Authors: Kuznetsov S.P.1,2, Sedova Y.V.1
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Affiliations:
- Kotel’nikov’s Institute of Radio-Engineering and Electronics of RAS, Saratov Branch
- Udmurt State University
- Issue: Vol 23, No 4 (2018)
- Pages: 458-470
- Section: Article
- URL: https://ogarev-online.ru/1560-3547/article/view/219017
- DOI: https://doi.org/10.1134/S1560354718040068
- ID: 219017
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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.
About the authors
Sergey P. Kuznetsov
Kotel’nikov’s Institute of Radio-Engineering and Electronics of RAS, Saratov Branch; Udmurt State University
Author for correspondence.
Email: spkuz@yandex.ru
Russian Federation, ul. Zelenaya 38, Saratov, 410019; ul. Universitetskay 1, Izhevsk, 426034
Yuliya V. Sedova
Kotel’nikov’s Institute of Radio-Engineering and Electronics of RAS, Saratov Branch
Email: spkuz@yandex.ru
Russian Federation, ul. Zelenaya 38, Saratov, 410019
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