Global bifurcations of multiple limit cycles in the FitzHugh-Nagumo system
Dynamical Systems
2015-03-19 v1
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.
Keywords
Cite
@article{arxiv.1104.3019,
title = {Global bifurcations of multiple limit cycles in the FitzHugh-Nagumo system},
author = {Valery A. Gaiko},
journal= {arXiv preprint arXiv:1104.3019},
year = {2015}
}
Comments
22 pages