Periodic solution for nonautonomous bidirectional associative memory neural networks with impulses

Authors:
Zhanji Gui;Xiao-Song Yang;Weigao Ge
Affiliations:
Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, PR China and Department of Computer Science, Hainan Normal University, Haikou, HaiNan 571158, PR China;Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, PR China;Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, PR China
Venue:
Neurocomputing
Year:
2007

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Abstract

By using the continuation theorem of coincidence degree theory and constructing suitable Lyapunov functions, we study the existence, uniqueness and global exponential stability of periodic solution for nonautonomous bidirectional associative memory (BAM) neural networks with impulsive effect. The results extend earlier ones where impulses are absent. Further the numerical simulation shows that our system can occur in many forms of complexities including periodic oscillation and chaotic strange attractor.