Bifurcational Behavior of a Cohen-Grossberg Neural Network of Two Neurons with Impulsive Effects

Abstract

In this paper, a Cohen–Grossberg neural network composed of two neurons with nonisochronous impulsive effects is proposed and investigated. By employing Mawhin’s coincidence theorem, we first show that the existence of semi-trivial periodic solutions. Under this situation, sufficient conditions assuring the asymptotic stability of semi-trivial periodic solutions are derived by using Floquet theory of the impulsive differential equation. Finally, we extend the method in [17] and then obtain the bifurcation of nontrivial periodic solutions.

Cite this paper

@inproceedings{Peng2009BifurcationalBO, title={Bifurcational Behavior of a Cohen-Grossberg Neural Network of Two Neurons with Impulsive Effects}, author={Tao Peng}, year={2009} }