Delayed neural networks with multistable almost periodic solutions

Authors:
Lili Wang;Wenlian Lu;Tianping Chen
Affiliations:
School of Mathematical Sciences, Fudan University, Shanghai, P. R. China;School of Mathematical Sciences, Fudan University, Shanghai, P. R. China;School of Mathematical Sciences, Fudan University, Shanghai, P. R. China
Venue:
IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
Year:
2009

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Abstract

In this paper, we are concerned with the multistability of almost periodic solutions of a class of delayed neural networks. We derive conditions guaranteeing 2n asymptotically stable almost periodic trajectories for neural networks with n-neurons. Furthermore, we investigate the attraction basin of each almost periodic solution. Compared with the existing literature, we obtain a more general criteria for the multistability of delayed neural networks and depict the attraction basins more precisely.