中国物理B ›› 2001, Vol. 10 ›› Issue (1): 17-20.doi: 10.1088/1009-1963/10/1/304

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USING RANDOM PROPORTIONAL PULSE FEEDBACK OF SYSTEM VARIABLES TO CONTROL CHAOS AND HYPERCHAOS

汪秉宏1, 罗晓曙2, 江峰3, 高远3   

  1. (1)Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China; (2)Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China; Department of Physics and Electronic Science, Guangxi Normal University, Guilin 541004, China; (3)Department of Physics and Electronic Science, Guangxi Normal University, Guilin 541004, China
  • 收稿日期:2000-06-11 修回日期:2000-09-04 出版日期:2001-01-15 发布日期:2005-07-11
  • 基金资助:
    Project supported by the National Basic Research in "Climbing Program" for Nonlinear Science and by the National Natural Science Foundation of China(Grant Nos. 19932020, 19974093 and 59876039).

USING RANDOM PROPORTIONAL PULSE FEEDBACK OF SYSTEM VARIABLES TO CONTROL CHAOS AND HYPERCHAOS

Luo Xiao-shu (罗晓曙)ab, Wang Bing-hong (汪秉宏)a, Jiang Feng (江峰)b, Gao Yuan (高远)b   

  1. a Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China; b Department of Physics and Electronic Science, Guangxi Normal University, Guilin 541004, China
  • Received:2000-06-11 Revised:2000-09-04 Online:2001-01-15 Published:2005-07-11
  • Supported by:
    Project supported by the National Basic Research in "Climbing Program" for Nonlinear Science and by the National Natural Science Foundation of China(Grant Nos. 19932020, 19974093 and 59876039).

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摘要： A method that allows one to control chaotic and hyperchaotic systems by a random proportional pulse feedback of system variables is proposed. This method is illustrated with the Rossler chaotic and the complex Lorenz-Harken hyperchaotic systems, and a better control result is obtained. The advantage of this method is that just one perturbed system variable is enough to obtain a stabilized periodic orbit.

Abstract: A method that allows one to control chaotic and hyperchaotic systems by a random proportional pulse feedback of system variables is proposed. This method is illustrated with the Rossler chaotic and the complex Lorenz-Harken hyperchaotic systems, and a better control result is obtained. The advantage of this method is that just one perturbed system variable is enough to obtain a stabilized periodic orbit.

Key words: random proportional pulse feedback, control chaos, control hyperchaos

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
42.65.Sf (Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics)