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An improvement and proof of OGY method
Authors:Yang Ling  Liu Zengrong
Affiliation:1. Department of Mathematics, Suzhou University, Suzhou 215006, P. R. China;2. LNM. Institute of Mechanics, Chinese Academy, Beijing 100080, P. R. 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.
Keywords:dynamical system  chaos  controlling chaos  hyperbolic periodic point  stable manifold  unstable manifold
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