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具有内共振的两个耦合Rossler振子的相位同步

Phase synchronization of two coupled Rossler oscillators with internal resonance

  • 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\sigma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.

     

    Abstract: Phase synchronization between linearly and nonlinearlycoupled systems with internal resonance was investigated in this paper. Theconception of phase for a chaotic motion was introduced to demonstrate theeffect of the detuning parameter \sigma between the two naturalfrequencies \omega _1 and \omega _2 on the phase dynamics. The resultsshowed that phase synchronization between two subsystems was enhanced withthe increase of the linear coupling strength and decayed with the increaseof nonlinear coupling strength. Further investigation reveals that thetransition of phase states between the two oscillators are related to thecritical changes of the Lyapunov exponents.

     

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