Anticipated synchronization of chaos for a class of high dimension dynamical system

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (15) : 50-52.

Sun Tao1 Qin Weiyang 2

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Abstract

For a class of high dimension nonautonomous dynamical systems, the control method to realize anticipated synchronization of chaos is presented. Based on chaos synchronization, the derived system and difference equation for anticipated synchronization are set up. It is proved that the control method can make the response of derived system to be identical with that of the original system in future of seconds theoretically. Furthermore, the coupling terms are simplified. To make the anticipation time longer, the multi-layer derived systems are set up and coupled with each other. The Duffing system and a pendulum with feedback are simulated to validate the theoretical analysis. The simulation results proved that the presented method is correct and effective.

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chaos / anticipated synchronization / dynamical system

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Sun Tao1 Qin Weiyang 2 . Anticipated synchronization of chaos for a class of high dimension dynamical system[J]. Journal of Vibration and Shock, 2016, 35(15): 50-52

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