Article ID Journal Published Year Pages File Type
838514 Nonlinear Analysis: Real World Applications 2008 19 Pages PDF
Abstract

A class of nn-dimensional neural network model with multi-delay is considered. Firstly, a group of sufficient conditions for the existence of Hopf bifurcation are obtained via employing the polynomial theorem to analyze the distribution of the roots of the associated characteristic equation. Secondly, the stability and direction of the Hopf bifurcation are determined by applying the normal form method and center manifold theorem. Finally, the multiple stability is investigated and pitchfork bifurcation is also found. The results are illustrated by some numerical simulations.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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