| 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 本征值 控制 |
| DOI： |
| 投稿时间：1996-09-02修订日期：1997-01-16 |
| 基金项目:得到国家自然科学基金资助。 |
|
| Finding and Control of Unstable Periodic Orbit |
|
Liu Zonghua, Chen Guangzhi
|
| (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. |
| Key words: unstable periodic orbit eigenvalue control |
