具有内共振的两个耦合Rssler振子的相位同步  

PHASE SYNCHRONIZATION OF TWO COUPLED RSSLER OSCILLATORS WITH INTERNAL RESONANCE

作　　者：刘勇[1] 王作雷[1] 毕勤胜[1] 

机构地区：[1]江苏大学理学院

出　　处：《力学学报》2008年第4期572-576,共5页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学资金(20476041，10602020)~~

摘　　要：讨论了具有内共振线性和非线性耦合系统的混沌相位同步.通过引入混沌运动的相位定义说明2个子系统固有频率的调谐参数σ对相位同步的影响.随着线性耦合力的增加,相位同步效应增强,然而随着非线性耦合力的增加,相位同步效应减弱.揭示了耦合系统的相位动力学与Lyapunov指数变化有关.Phase synchronization between linearly and nonlinearly coupled systems with internal resonance was investigated in this paper. The conception of phase for a chaotic motion was introduced to demonstrate the effect of the detuning parameter a between the two natural frequencies Wl and w2 on the phase dynamics. The results showed that phase synchronization between two subsystems was enhanced with the increase of the linear coupling strength and decayed with the increase of nonlinear coupling strength. Further investigation reveals that the transition of phase states between the two oscillators are related to the critical changes of the Lyapunov exponents.

关 键 词：相位同步 Rssler振子 耦合 LYAPUNOV指数 

分 类 号：O175.14[理学—数学] O322[理学—基础数学]