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失稳周期轨道的寻找与控制
引用本文:刘宗华,陈光旨.失稳周期轨道的寻找与控制[J].广西科学,1997,4(3):170-173.
作者姓名:刘宗华  陈光旨
作者单位:广西大学物理系
摘    要:提出一种在噪声存在的情况下依然有效的控制失稳周期轨道的方法。此法以一本征方向代表轨道方向,将三维微分系统简化为二维微分系统,用Lyapunov指数谱解释取得控制的原因。另介绍两种在自治微分系统中寻找失稳周期轨道的方法。

关 键 词:失稳周期轨道  浑沌控制  微分系统  噪声
收稿时间:1996/9/2 0:00:00
修稿时间:1997/1/16 0:00:00

Finding and Control of Unstable Periodic Orbit
Liu Zonghua and Chen Guangzhi.Finding and Control of Unstable Periodic Orbit[J].Guangxi Sciences,1997,4(3):170-173.
Authors:Liu Zonghua and Chen Guangzhi
Institution:Dept. of Physics, Guangxi University, 10 East Xixiangtanglu, Nanning, Guangxi, 530004 and Dept. of Physics, Guangxi University, 10 East Xixiangtanglu, Nanning, Guangxi, 530004
Abstract:A method used to control unstable periodic orbit is presented, which is effective in presence of noise. Differential system in the method would be changed from three-dimention to two -dimension in terms of an intrinic direction which could ex press orbit direction, and the results could be ex plained with Lyapunov exponent spectra. This pa per also introduces two methods which are used to find the unstable periodic orbit in autonomous differential system.
Keywords:unstable periodic orbit  eigenvalue  control
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