Synchronization and parameter identification of high-dimensional discrete chaotic systems via parametric adaptive control

This paper is concerned with the synchronization of high-dimensional chaotic maps with multiple unknown parameters by parametric adaptive control, and a sufficient condition is drawn when the system parameters are considered to be in linear form. Moreover, the parameters of drive system can be identified when the two systems achieve synchronization. Finally, numerical experiments are presented to show the effectiveness and efficiency of the proposed method.

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