Convergence and Existence of Periodic Solutions for a Class of Discrete-time Model of Two-cell Cellular Neural Network

Xuemei Li · Journal of Hunan City University · 2005

The convergence and existence of periodic solutions for neural networks are known as the basis of various applications.In this paper,the convergence and existence of periodic solutions for a class of discrete-time model of two-cell cellular neural networks with symmetric template are investigated.By using of the Lyapunov direct method and LaSalle’ s invariance principle,some new results are obtained about the stability,asymptotic stability,the existence and attractivity of 2-periodic solutions.

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