Research ArticleOpen AccessGoogle Scholar indexed
Chaotic Control of Lü System via Three Methods
School of Information Engineering, Dalian University, Dalian, China
- 1 School of Information Engineering, Dalian University, Dalian, China
International Journal of Modern Nonlinear Theory and Application·Volume 03 (2014)·Pages 29–36·Published 26 May 2014·DOI10.4236/ijmnta.2014.32005
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Abstract
In the paper, several different methods are adopted to control Lü system. With direct feedback method, Lü system can be stabilized at one equilibrium point or a limit cycle surrounding its equilibrium. With adaptive time-delayed feedback method, feedback coefficient and delay time can be adjusted adaptively to stabilize Lü system at its original unstable periodic orbit. With minimal energy method, Lü system can also be stabilized at fixed point or limit cycle. Numerical simulations show the effectiveness of our methods.
KeywordsLüSystemDirect FeedbackAdaptive Time-Delayed FeedbackMinimal Energy Method
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