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

Autor:	Gaiko, Valery A.
Rok vydání:	2011
Předmět:	Mathematics - Dynamical Systems 34C05 34C07 34C23 37G05 37G10 37G15
Druh dokumentu:	Working Paper
Popis:	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. Comment: 22 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1104.3019 Zobrazit plný text záznamu View this record from Arxiv