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

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.

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