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GENERALIZED SYNCHRONIZATION OF DIFFERENT DIMENSIONAL CHAOTIC SYSTEMS BASED ON PARAMETER IDENTIFICATION

YONGGUANG YU

Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China

Department of MEEM, City University of Hong Kong, Kowloon, Hong Kong SAR, China

Corresponding author.

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HAN-XIONG LI

School of Mechanical and Electrical Engineering, Central South University, Changsha, 410083, China

Department of MEEM, City University of Hong Kong, Kowloon, Hong Kong SAR, China

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, and

JUNZHI YU

Lab of CompSys, Institute of Automation, Chinese Academy of Sciences, Beijing 100190, China

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https://doi.org/10.1142/S0217984909020710Cited by:6 (Source: Crossref)

Abstract

This paper investigates the generalized synchronization issue for two different dimensional chaotic systems with unknown parameters. Based on Lyapunov stability theory and adaptive control theory, an adaptive controller is derived to achieve the generalized synchronization whether the dimension of drive system is greater than the one of the response system or not. Meanwhile, corresponding parameter updating laws can be obtained so as to exactly identify uncertain parameters. This technique has been successfully applied to two examples, the generalized synchronization of hyperchaotic Rössler system and chaotic Lorenz system, chaotic Chen system and generalized Lorenz system. Numerical simulations are finally shown to illustrate the effectiveness of the proposed approach.

Keywords:

PACS: 05.45.-a

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