耦合系统的混沌相位同步

Phase synchronization of coupling systems

通过引入混沌运动的相位定义分析了线性和非线性耦合参数对两个主共振子系统之间的混沌相位同步的影响.讨论了在近似于主共振条件下,两子系统不同步、不完全相位同步和完全相位同步之间的演化过程,揭示了不同状态相互转化与Lyapunov指数变化之间的关系,指出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.

The influence of the linear and nonlinear coupling parameters on the phase synchronization of chaos between two sub-systems with primary resonance is investigated by introducing the conception of the phase for a chaotic motion. The evolution process from non-synchronized state to imperfect phase synchronization and further to perfect phase synchronization between two sub-systems with approximate primary resonance is discussed. Further investigation reveals that the transition between different phase states are related to the critical change of the Lyapunov exponents. The results show that phase synchronization between two sub-systems is enhanced with the increase of the linear coupling strength and decayed with the increase of nonlinear coupling strength.