複雜系統混沌控制理論與實現之研究
碩士 === 國立高雄師範大學 === 物理學系 === 92 === We use two methods to control chaos in higher — dimensional discrete map with constant feedback. This is a simple method of controlling chaos by simply adding a constant feedback. Desired periodic orbits can be accessed by vary the constant feedback. We illustrate...
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| Format: | Others |
| Language: | zh-TW |
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2004
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| Online Access: | http://ndltd.ncl.edu.tw/handle/22918580230539593057 |
| Summary: | 碩士 === 國立高雄師範大學 === 物理學系 === 92 === We use two methods to control chaos in higher — dimensional discrete map with constant feedback. This is a simple method of controlling chaos by simply adding a constant feedback. Desired periodic orbits can be accessed by vary the constant feedback. We illustrate the method with an application to the Hénon map. And it is analytically shown for a general class of function vectors that chaotic attractors can be convert into fixed point attractors.
Additionally , we apply constant feedback to the Ikeda map. This is a slightly more complicated map. The Ikeda map describes the behavior of an optical field in a ring cavity with a nonlinear medium. We demonstrate these technique to analyze and control it. Finally, we look at the stability of the control algorithm in the presence of noise. We still believe there exists something interesting about these techniques.
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