一类高维动力学系统的混沌预测同步实现方法研究

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (15) : 50-52.

论文

孙涛1 ，秦卫阳2

作者信息 +

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

Sun Tao1 Qin Weiyang 2

Author information +

文章历史 +

摘要

对于一类含有时间项的高维非线性动力学系统，提出了实现混沌预测同步的控制方法。在混沌同步的基础上，建立了派生系统及差别方程，从理论上证明了提出的方法能够实现对于原非线性系统的预测同步。对于耦合项进行了简化，为了实现长时间的预测，建立了多级同步系统来延长预测同步时间。对于Duffing系统，以及含反馈单摆系统在混沌状态下进行了仿真计算，证明了提出的方法是正确的与有效的。

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.

导出引用

孙涛1,秦卫阳2. 一类高维动力学系统的混沌预测同步实现方法研究[J]. 振动与冲击, 2016, 35(15): 50-52

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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