Periodicity of Recurrent Neural Networks with Reaction-Diffusion and Dirichlet Boundary Conditions

Authors:
Chaojin Fu;Chongjun Zhu;Boshan Chen
Affiliations:
Department of Mathematics, Hubei Normal University, Huangshi, Hubei, 435002, China and Hubei Province Key Laboratory of Bioanalytical Technique, Hubei Normal University, Huangshi, Hubei, 435002, C ...;Department of Mathematics, Hubei Normal University, Huangshi, Hubei, 435002, China;Department of Mathematics, Hubei Normal University, Huangshi, Hubei, 435002, China
Venue:
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks, Part III
Year:
2007

Citing 3
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Abstract

In this paper, a class of reaction-diffusion recurrent neural networks with time-varying delays and Dirichlet boundary conditions are considered by using an approach based on the delay differential inequality and the fixed-point theorem. Some sufficient conditions are obtained to guarantee that the reaction-diffusion recurrent neural networks have a periodic orbit and this periodic orbit is globally attractive. The results presented in this paper are the improvement and extension of the existed ones in some existing works.