期刊
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
卷 9, 期 5, 页码 2234-2252出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2007.08.008
关键词
neural network; delay; Hopf bifurcation; pitchfork bifurcation
资金
- National Natural Science Foundations of China
- Young Innovative Programme of Northeast Forestry University
A class of n-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. (C) 2007 Elsevier Ltd. All rights reserved.
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