| Controlling Chaos in Hénon Map by the Constant Feedback Method |
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| 引用本文： | HAO Jian-Hong XU Hai-Bo YU Jin-Jiang. Controlling Chaos in Hénon Map by the Constant Feedback Method[J]. 理论物理通讯, 2007, 48(2): 79-287 |
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| 作者姓名： | HAO Jian-Hong XU Hai-Bo YU Jin-Jiang |
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| 作者单位： | [1]Department of Information Engineering, North China Electric Power University. Beijing 102206, China [2]Institute of Applied Physics and Computational Mathematics, Beijing 100088, China [3]Department of Physics, Shijiazhuang College, Shijiazhuang 050801, China |
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| 基金项目： | The project supported by the Key Program of National Natural Science Foundation of China under Grant No. 10335010 |
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| 摘 要： | We demonstrate the constant feedback and the modified constant feedback method to the Hénon map. Using the convergence of the chaotic orbit in finite time, we can control the system from chaos to the stable fixed point, and even to the stable period-2 orbit or higher periodic orbit by the action of a proper feedback strength and pulse interval. We also find that the multi-steady solutions appear with the same control strength and different initial conditions. The aim of this control method is explicit and the feedback strength is easy to determine. The method is robust under the presence of weak external noise.
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| 关 键 词： | 恒量反馈 反差控制 多级解答方法 有限时间汇聚区域 |
| 修稿时间： | 2006-09-11 |
Controlling Chaos in Hénon Map by the Constant Feedback Method |
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| Abstract: | |
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| Keywords: | constant feedback, modified constant feedback, finite time convergence zone, Hé non map, multisteady solutions |
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