周期振子Chua电路的线性耦合同步

摘要/Abstract

摘要： 以非线性振子Chua电路为例，基于李亚普诺夫稳定性理论，研究了线性耦合实现两个系统之间的完全同步。进一步通过构造指数型李亚普诺夫函数验证了此线性控制器的可靠性，数值结果验证了此方法的有效性。系统达到同步所需的暂态过程，控制器的平均功耗与耦合强度的大小有关。

关键词: 混沌, 指数型李亚普诺夫函数, 线性耦合, 完全同步

Abstract: The complete synchronization between two nonlinear Chua circuits due to linear coupling is investigated based on Lyauponov stability. It is confirmed that the linear controllers is effective by constructing the exponential Lyapunov function, and the reliability of this scheme is confirmed by the numerical results. The transient period for complete synchronization and averaged power consumption of controller are associated with the selection of coupling intensity.

Key words: chaos, exponential Lyapunov function, linear-coupling, complete synchronization, chaos

中图分类号:

何玉俊，褚润通，李凡. 周期振子Chua电路的线性耦合同步[J]. J4, 2013, 30(5): 601-607.

HE Yujun， CHU Run-tong，LI Fan. Linear coupling-induced synchronization between periodic Chua oscillators[J]. J4, 2013, 30(5): 601-607.

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