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

摘要

In this paper, we complete the global qualitative analysis of the well-knownFitzHugh-Nagumo neuronal model. In particular, studying global limit cyclebifurcations and applying the Wintner-Perko termination principle for multiplelimit cycles, we prove that the corresponding dynamical system has at most twolimit cycles.