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中国物理学会期刊

用截面映象非线性延时反馈控制混沌

CSTR: 32037.14.aps.45.1100

USING NONLINEAR DELAYED FEEDBACK ON POINCARE SECTION TO CONTROL CHAOS

CSTR: 32037.14.aps.45.1100
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  • 提出了利用相空间Poincare截面上的非线性延时反馈稳定微分动力系统混沌吸引子中不稳定周期轨道的新方法.以Henon映象和带注入信号的双光子激光系统为例,给出了理论分析和数值模拟结果.这种方法的主要特点是不需要获取混沌系统中不稳定周期轨道的任何信息,并且可以在混沌态的任意时刻施加控制作用.

     

    A new method of the nonlinear delayed feedback on a Poincare section is used to stabilize the unstable periodic orbits (UPO) embedded in a chaotic attractor. As examples we studied the casee of Henon map and two-photon laser system with an injected signal. The advantages of this method are that it does not need to know the linear properties and the periodicity about a UPO or the one of the UPO extracted from the chaotic attractor, and the convergence to UPO does not depend on time of appling delayed feedback control action.

     

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