Hopf bifurcation in bidirectional associative memory neural networks with delays: analysis and computation

Authors:
Lin Wang;Xingfu Zou
Affiliations:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NF, Canada A1C 5S7;Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NF, Canada A1C 5S7
Venue:
Journal of Computational and Applied Mathematics
Year:
2004

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Abstract

In addition to giving some delay-independent conditions for global stability of the bidirectional associative memory neural networks with delays, we perform analysis of local stability and Hopf bifurcation. We also work out an algorithm for determining the direction and stability of the bifurcated periodic solutions.