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中国物理学会期刊

用周期拍方法控制非线性耗散系统和保守系统的混沌

CSTR: 32037.14.aps.50.1862

CONTROLLING CHAOTIC OF THE NONLINEAR SYSTEM VIA PERIODS PULSES

CSTR: 32037.14.aps.50.1862
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  • 通过分析无反馈周期拍方法控制耗散系统的动力学特性,找出了控制耗散系统混沌轨道的必要条件,并且对周期拍方法进行推广,在加上作为微扰的反馈项后,实现对2维Hamiltonian系统混沌轨道的控制.对于标准映象,系统的整体混沌轨道被稳定在目标周期轨道上,并且在有较弱外噪声的情况下具有鲁棒性.在3维连续流的情况下,与局限于Poincar e-截面的脉冲控制方法进行比较,确定了两种控制方法各自的适用范围,结论是,为了稳定控制保守系统的混沌轨道,外加控制项必为耗散的.

     

    An essential condition for controlling dissipative systems has been obtained via an analysis of the dynamical character of open-loop periods pulses, at the same time, we extend the applied range of the periods pulses. After a close-loop pertubation is added, a method for controlling global chaotic in two-dimensional Hamiltonian systems is proposed in a model of the standard map. The method is robust under the presence of weak external noise.

     

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