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

• Articles •     Next Articles

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

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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