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Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (1): 1-8.

• 论文 •    下一篇

AN IMPROVEMENT AND PROOF OF OGY METHOD

杨凌1,2, 刘曾荣1,2   

  1. 1. Department of Mathematics, Suzhou University, Suzhou 215006, P. R. China;
    2. LNM. Institute of Mechanics, Chinese Academy, Beijing 100080, P. R. China
  • 收稿日期:1996-08-05 修回日期:1997-07-15 出版日期:1998-01-18 发布日期:1998-01-18
  • 基金资助:
    Project supported by the National Nature Science Foundation of China

AN IMPROVEMENT AND PROOF OF OGY METHOD

Yang Ling1,2, Liu Zengrong 1,2   

  1. 1. Department of Mathematics, Suzhou University, Suzhou 215006, P. R. China;
    2. LNM. Institute of Mechanics, Chinese Academy, Beijing 100080, P. R. China
  • Received:1996-08-05 Revised:1997-07-15 Online:1998-01-18 Published:1998-01-18
  • Supported by:
    Project supported by the National Nature Science Foundation of China

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摘要： OGY method is the most important method of controlling chaos. It stabilizes ahyperbolic periodic orbit by making small perturbations for a system parameter. Thispaper improves the method of choosing parameter, and gives a mathematics proof ofit.

关键词: dynamical system, chaos, controlling chaos, hyperbolic periodic point, stable manifold, unstable manifold

Abstract: OGY method is the most important method of controlling chaos. It stabilizes ahyperbolic periodic orbit by making small perturbations for a system parameter. Thispaper improves the method of choosing parameter, and gives a mathematics proof ofit.

Key words: dynamical system, chaos, controlling chaos, hyperbolic periodic point, stable manifold, unstable manifold

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