Anti-periodic mild attractor of delayed hopfield neural networks systems with reaction-diffusion terms

Authors:
Zhang Chen;Xilin Fu;Donghua Zhao
Affiliations:
School of Mathematics, Shandong University, Jinan 250100, PR China;School of Mathematical Sciences, Shandong Normal University, Jinan, Shandong 250014, PR China;Key Laboratory of Mathematics for Nonlinear Sciences, Ministry of Education, School of Mathematical Sciences, Fudan University, Shanghai 200433, PR China
Venue:
Neurocomputing
Year:
2013

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Abstract

In this paper, reaction-diffusion Hopfield neural networks systems with time-varying delays and Dirichlet boundary conditions are investigated. The theorems on existence and global exponential stability of anti-periodic mild solution are established. Moreover, theoretical results further show that diffusion terms contribute to existence and stabilization of anti-periodic mild solution. Finally, an illustrative example and numerical simulations are given to show effectiveness of results in this paper.