无反馈作用下混沌系统的振幅死亡

考虑了一种无反馈的作用机理，通过分析定常强迫作用下R?ssler系统的分岔图和Lyapunov指数谱，发现定常强迫能够导致混沌系统产生振幅死亡.这种现象的产生类似于耦合的极限环系统和耦合的R?ssler系统，弱定常强迫作用下的R?ssler系统经由一个周期运动被驱动到系统自身的一个平衡点上.进一步对受迫系统时间序列的研究表明，当定常强迫强度超过一个临界值时，系统的状态不断在小振幅周期运动与静止之间交替出现. 关键词： 振幅死亡 定常强迫 R?ssler系统

Amplitude death in non-feedback coupled chaotic system

Considering a non-feedback mechanism of action, the present paper shows that the steady forcing induces amplitude death in chaotic system by investigating the bifurcation figures and the spectrum of Lyapunov exponents of the Roessler oscillator. The manner, which is very similar to that in coupled limit cycles or coupled Roessler system, is from periodic to an equilibrium point of the forced system. Furthermore, we investigate the time series of the forced system, and find that when the strength of the forcing is beyond a critical constant, the states of the system present the periodic dynamics with a small amplitude or rest alternately.