2014•Medical Entomology and ZoologyOpen access

The FitzHugh-Nagumo Model: Bifurcation and Dynamics

Adriana Georgescu, Carmen Rocşoreanu, N. Giurgiţeanu

Abstract

Introduction. 1. Models and Dynamics. 2. Static Bifurcation and Linearization of the Fitzhugh-Nagumo Model. 3. Dynamic Bifurcation for the Fitzhugh-Nagumo Model. 4. Models of Asymptotic Approximation for the Fitzhugh-Nagumo System as c --> ? 5. Global Bifurcation Diagram and Phase Dynamics for the Fitzhugh-Nagumo Model. References. Index.

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Key concepts: Bifurcation diagram, Bifurcation, Biological applications of bifurcation theory, Saddle-node bifurcation, Linearization, Mathematics, Dynamics (music), Transcritical bifurcation