中国物理B ›› 1999, Vol. 8 ›› Issue (12): 895-901.doi: 10.1088/1004-423X/8/12/003

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A NEW STRATEGY OF CHAOS CONTROL AND A UNIFIED MECHANISM FOR SEVERAL KINDS OF CHAOS CONTROL METHODS

方锦清1, 罗晓曙2, 王力虎2, 孔令江2, 江峰2   

  1. (1)China Institute of Atomic Energy, Beijing 102413, China; (2)Department of Physics and Electronic Science, Guangxi Normal University, Guili 541004, China
  • 收稿日期:1999-01-13 修回日期:1999-06-06 出版日期:1999-12-15 发布日期:2005-06-29
  • 基金资助:
    Project supported by the Science Foundation of Education Bureau of GuangXi Zhuang Autonomous Region (Grant No. 9816940) and by the National Natural Science Foundation of China.

A NEW STRATEGY OF CHAOS CONTROL AND A UNIFIED MECHANISM FOR SEVERAL KINDS OF CHAOS CONTROL METHODS

LUO XIAO-SHU (罗晓曙)a, FANG JIN-QING (方锦清)b, WANG LI-HU (王力虎)a, KONG LING-JIANG (孔令江)a, JIANG FENG (江峰)a   

  1. a Department of Physics and Electronic Science, Guangxi Normal University, Guili 541004, China; b China Institute of Atomic Energy, Beijing 102413, China
  • Received:1999-01-13 Revised:1999-06-06 Online:1999-12-15 Published:2005-06-29
  • Supported by:
    Project supported by the Science Foundation of Education Bureau of GuangXi Zhuang Autonomous Region (Grant No. 9816940) and by the National Natural Science Foundation of China.

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摘要： Based on a general principle of physics that a physical system is in the most stable state if it is of the lowest energy stale, a new method for chaos control is proposed. A calculable generalized energy function in a nonlinear system is suggested for measuring control process, The Henon map and Lorenz system are taken as two typical examples to demonstrate the method. A series of stabilized periodic orbits as well aa inverse sequence of chaotic bands are obtained. At the same time, a unified mechanism of physics for several kinds of current cbaos control methods is studied using the idea proposed in this paper.

Abstract: Based on a general principle of physics that a physical system is in the most stable state if it is of the lowest energy stale, a new method for chaos control is proposed. A calculable generalized energy function in a nonlinear system is suggested for measuring control process, The Henon map and Lorenz system are taken as two typical examples to demonstrate the method. A series of stabilized periodic orbits as well aa inverse sequence of chaotic bands are obtained. At the same time, a unified mechanism of physics for several kinds of current cbaos control methods is studied using the idea proposed in this paper.

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
05.45.Xt (Synchronization; coupled oscillators)