Hopf bifurcations in a network of FitzHugh–Nagumo biological neurons-Reference-Cited by-同舟云学术

Hopf bifurcations in a network of FitzHugh–Nagumo biological neurons

Published:2021-11-26 Issue:0 Volume:0 Page:
ISSN:1565-1339
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Popov Igor Y.¹^ORCID,Fedorov Evgeny G.¹

Affiliation:

1. Faculty of Control Systems and Robotics , ITMO University , Saint Petersburg , Russia

Abstract

Abstract The paper is focused on the analysis of effect of coupling strength and time delay for a pair of connected neurons on the dynamics of the system. The FitzHugh–Nagumo model is used as a neuron model. The article contains analytical conditions for Hopf bifurcations in the system. A numerical verification of the results is given. Several examples of global bifurcation in the system were analyzed.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2021-0188/pdf

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