A global synchronization criterion for coupled chaotic systems via unidirectional linear error feedback approach

A global synchronization criterion for coupled chaotic systems via unidirectional linear error feedback approach
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DOI:
10.1142/s0218127402005790
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发表时间:
2002-10-01
影响因子:
2.2
通讯作者:
Tang, WKS
Tang, WKS
中科院分区:
数学4区
文献类型:
--
作者:
Jiang, GP;Tang, WKS

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基于李雅普诺夫稳定化理论,提出了一种新的基于单向线性误差反馈耦合的耦合混沌系统全局混沌同步的通用判据。该判据成功地应用于具有不同非线性的典型混沌系统,如经典蔡氏电路、正弦函数的修正蔡氏电路、Rossler混沌系统和Lorenz混沌系统。根据新判据确定耦合参数,以保证耦合系统的全局混沌同步。
Based on Lyapunov stabilization theory, this paper proposes a new generic criterion of global chaos synchronization between two coupled chaotic systems from a unidirectional linear error feedback coupling approach. The criterion is successfully applied to some typical chaotic systems with different types of nonlinearity, such as the classic Chua's circuit, the modified Chua's circuit with a sine function, and the Rossler and Lorenz chaotic systems. The coupling parameters are determined according to the new criterion so as to ensure the coupled systems' global chaos synchronization.