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物理学报  1996 

USING NONLINEAR DELAYED FEEDBACK ON POINCARE SECTION TO CONTROL CHAOS
用截面映象非线性延时反馈控制混沌

Keywords: 混沌控制,非线性系统,延时反馈控制

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Abstract:

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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