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

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

2011-04-15

arxiv.org/abs/1104.3019v1

Mathematics

Dynamical Systems

22 pages

Scientific paper

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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