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Chinese Physics, 2001, Vol. 10(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

Luo Xiao-shu (罗晓曙)ab, Wang Bing-hong (汪秉宏)a, Jiang Feng (江峰)b, Gao Yuan (高远)b
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
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.
Keywords:  random proportional pulse feedback      control chaos      control hyperchaos  
Received:  11 June 2000      Revised:  04 September 2000      Accepted manuscript online: 
PACS:  05.45.-a (Nonlinear dynamics and chaos)  
  42.65.Sf (Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics)  
Fund: 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).

Cite this article: 

Luo Xiao-shu (罗晓曙), Wang Bing-hong (汪秉宏), Jiang Feng (江峰), Gao Yuan (高远) USING RANDOM PROPORTIONAL PULSE FEEDBACK OF SYSTEM VARIABLES TO CONTROL CHAOS AND HYPERCHAOS 2001 Chinese Physics 10 17

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