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Chinese Physics, 2004, Vol. 13(11): 1913-1917    DOI: 10.1088/1009-1963/13/11/026
PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES Prev   Next  

Controlling chaos by a delayed continuous feedback in a gas discharge plasma

Huang Wei (黄巍), Yu Chang-Xuan (俞昌旋), Zheng Jian (郑坚), Xie Jin-Lin (谢锦林), Liu Wan-Dong (刘万东), Feng Dong-Lai (封东来), Ding Wei-Xing (丁卫星)
Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China
Abstract  Control of chaos by a delayed continuous feedback is studied experimentally in a gas discharge plasma. The power spectrum, the maximum of Lyapunov exponents and the time series of the signals all indicate that the period-1 unstable periodic orbit is controlled successfully. The dependence of the control on the delay time and the feedback gain as well as the strength of white noise is also investigated in detail. The experimental results show that the scaling index of the control versus the strength of white noise is 1.995, which is very close to that obtained from the simple logistic map.
Keywords:  controlling chaos      delayed continuous feedback  
Received:  16 April 2004      Revised:  15 May 2004      Accepted manuscript online: 
PACS:  52.25.Gj (Fluctuation and chaos phenomena)  
  52.80.-s (Electric discharges)  
  05.40.Ca (Noise)  
  05.45.Gg (Control of chaos, applications of chaos)  
  02.30.Yy (Control theory)  
Fund: Project supported by the State Key Development Programme for Basic Research of China.

Cite this article: 

Huang Wei (黄巍), Yu Chang-Xuan (俞昌旋), Zheng Jian (郑坚), Xie Jin-Lin (谢锦林), Liu Wan-Dong (刘万东), Feng Dong-Lai (封东来), Ding Wei-Xing (丁卫星) Controlling chaos by a delayed continuous feedback in a gas discharge plasma 2004 Chinese Physics 13 1913

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