Periodic solution for nonautonomous bidirectional associative memory neural networks with impulses

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.