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

doi:10.1088/1009-1963/13/11/026

中国物理B ›› 2004, Vol. 13 ›› Issue (11): 1913-1917.doi: 10.1088/1009-1963/13/11/026

• PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES • 上一篇下一篇

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

黄巍, 俞昌旋, 郑坚, 谢锦林, 刘万东, 封东来, 丁卫星

Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China

收稿日期:2004-04-16 修回日期:2004-05-15 出版日期:2005-06-20 发布日期:2005-06-20
基金资助:
Project supported by the State Key Development Programme for Basic Research of China.

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

Received:2004-04-16 Revised:2004-05-15 Online:2005-06-20 Published:2005-06-20
Supported by:
Project supported by the State Key Development Programme for Basic Research of China.

摘要/Abstract

摘要： 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.

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.

Key words: controlling chaos, delayed continuous feedback

中图分类号: (Fluctuation and chaos phenomena)

52.25.Gj

52.80.-s (Electric discharges) 05.40.Ca (Noise) 05.45.Gg (Control of chaos, applications of chaos) 02.30.Yy (Control theory)

黄巍, 俞昌旋, 郑坚, 谢锦林, 刘万东, 封东来, 丁卫星. Controlling chaos by a delayed continuous feedback in a gas discharge plasma[J]. 中国物理B, 2004, 13(11): 1913-1917.

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[J]. Chinese Physics, 2004, 13(11): 1913-1917.

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

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

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