Hyperbolic chaos in systems based on Fitzhugh-Nagumo model neurons

DOI10.1134/S1560354718040068zbMath1410.37037WikidataQ129477844 ScholiaQ129477844MaRDI QIDQ1739525

Yuliya V. Sedova, Sergey P. Kuznetsov

Publication date: 26 April 2019

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

time-delay systemSmale-Williams solenoidhyperbolic chaosFitzhugh-Nagumo neuron

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Neural nets applied to problems in time-dependent statistical mechanics (82C32) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems with hyperbolic orbits and sets (37D05) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items (1)

Dynamic behaviors of the FitzHugh-Nagumo neuron model with state-dependent impulsive effects

Cites Work

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