变参数非自治蔡氏电路的混沌同步  

Chaotic synchronization of non-autonomous Chua's circuits with variable parameters

作　　者：高永毅[1] 李邦彦[1] 

机构地区：[1]湖南科技大学物理学院,湖南湘潭411201

出　　处：《控制理论与应用》2011年第3期389-394,共6页Control Theory & Applications

基　　金：国家自然科学基金资助项目(50775071);湖南省科技计划资助项目(2008FJ3037);湖南省教育厅重点资助项目(06A018)

摘　　要：针对非自治蔡氏电路激励电压的振幅和初相位发生微小扰动的混沌同步问题,提出了一种新的同步方法:将非自治方程等效变换为自治方程,使发生微小扰动的激励电压的振幅和初相位能用自治方程不同的初始值来体现,经过这种变换,参数失配的混沌同步问题能用定参数混沌同步方法来解决,再利用单向耦合同步法,结合非线性微分几何控制理论中的串接系统稳定性方法对误差系统进行降维处理,得出了同步系统耦合系数满足的条件,解决了两系统参数失配的混沌同步问题.仿真和实验结果表明:该方法可以使两个混沌系统在参数失配时达到快速全局同步.A new synchronization method is proposed for the non-autonomous Chua＇s circuits with small disturbances in voltage amplitude and phase. In this method, the non-autonomous equation is transformed into the autonomous equation with initial values representing the small perturbed voltage amplitude and phase in the original non-autonomous equation. Thus, the chaotic synchronization with mismatch parameters can be realized by the chaotic synchronization with determin- istic parameters. Using one-way coupled synchronization method and the nonlinear differential geometric control theory about stability theory of cascade-connected system to reduce the dimension, we obtain the conditions for coupling coeffi- cients in the synchronization of two systems, thus solving the problem of synchronization of two systems with mismatch parameters. The simulation results show that this method can realize fast chaotic synchronization between two systems with mismatch parameters.

关 键 词：变参数 非自治 蔡氏电路 同步 

分 类 号：O415.5[理学—理论物理]