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arXiv · 1104.3019

Global bifurcations of multiple limit cycles in the FitzHugh-Nagumo system

Valery A. Gaiko
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Abstract

In this paper, we complete the global qualitative analysis of the well-known FitzHugh-Nagumo neuronal model. In particular, studying global limit cycle bifurcations and applying the Wintner-Perko termination principle for multiple limit cycles, we prove that the corresponding dynamical system has at most two limit cycles.

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Valery A. Gaiko. 2011-04-15. Global bifurcations of multiple limit cycles in the FitzHugh-Nagumo system. https://arxiv.org/abs/1104.3019

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