Two-frequency self-oscillations in a FitzHugh-Nagumo neural network

DOI10.1134/S0965542517010067zbMath1397.34080OpenAlexW2588052453WikidataQ59448335 ScholiaQ59448335MaRDI QIDQ2357122

A. Yu. Kolesov, S. D. Glyzin, N. Kh. Rozov

Publication date: 19 June 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517010067

zbMATH Keywords

stabilityasymptotic behaviornormal forminvariant torusbuffer phenomenonFitzHugh-Nagumo neural network

Mathematics Subject Classification ID

Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Multifrequency systems of ordinary differential equations (34C46)

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Cites Work

• Dynamic effects associated with spatial discretization of nonlinear wave equations
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