Electron. J. Diff. Equ., Vol. 2010(2010), No. 50, pp. 1-11.

Anti-periodic solutions for recurrent neural networks without assuming global Lipschitz conditions

Hong Zhang, Yuanheng Wu

In this paper we study recurrent neural networks with time-varying delays and continuously distributed delays. Without assuming global Lipschitz conditions on the activation functions, we establish the existence and local exponential stability of anti-periodic solutions.

Submitted December 11, 2009. Published April 9, 2010.
Math Subject Classifications: 34C25, 34D40.
Key Words: Recurrent neural networks; anti-periodic; exponential stability; delay.

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Hong Zhang
Department of Mathematics, Hunan University of Arts and Science
Changde, Hunan 415000, China
email: hongzhang320@yahoo.com.cn
Yuanheng Wu
College of Mathematics and Information Sciences, Guangzhou University
Guangzhou, Guangdong 510006, China
email: wyhcd2006@yahoo.com.cn

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