Affiliation:
1. Department of Physics and Mathematics, Faculty of Pharmacy, University of Beograd, Vojvode Stepe 450, Beograd, Serbia and Montenegro
Abstract
A system of ODE's is used to attempt an approximation of the dynamics of two delayed coupled FitzHugh–Nagumo excitable units, described by delay-differential equations. It is shown that the codimension 2 generalized Hopf bifurcation acts as the organizing center for the dynamics of ODE's for small time-lags. Furthermore, this is used to explain important qualitative properties, like the phenomenon of oscillator death, of the exact dynamics for small time-delays.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)
Cited by
15 articles.
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