Multiple limit cycle bifurcations of the FitzHugh-Nagumo neuronal model

DOI10.1016/j.na.2011.08.017zbMath1247.34043OpenAlexW2051439117MaRDI QIDQ642615

Valery A. Gaiko

Publication date: 27 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.08.017

zbMATH Keywords

bifurcationlimit cycleFitzHugh-Nagumo neuronal modelWintner-Perko termination principle

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Cites Work

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• Global bifurcations of limit and separatrix cycles in a generalized Liénard system
• Wintner-Perko termination principle, parameters rotating a field, and limit-cycle problem
• Global analysis of planar neural networks
• Elements of applied bifurcation theory

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