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The Stable Periodic Solutions of a Discrete Neural Network System

Authors:

Jin Deng

Affiliation:

(1) Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China

Abstract:

Abstract In this paper, a nonlinear difference system

$left{ {{}^{{x_{n} = beta x_{{n - 1}} + f{left( {y_{{n - k}} } right)},}}_{{y_{n} = beta y_{{n - 1}} + f{left( {x_{{n - k}} } right)},}} } right.;n in N$

is considered and sufficient conditions for the existence of the stable 2k + 1 periodic solution are obtained.

Keywords:

Delay difference system periodic solution asymptotic behavior

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