Bifurcational Behavior of a Cohen-Grossberg Neural Network of Two Neurons with Impulsive Effects
نویسنده
چکیده
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.
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تاریخ انتشار 2009