Nonlinear Control of Chaos

Chin. Phys. Lett.

1998, Vol. 15

Issue (4): 249-251 DOI:

Original Articles

Nonlinear Control of Chaos

LIU Ren-hong;TAN Wei-han¹

Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800 ¹Department of Physics, Shanghai University, Shanghai 201800

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LIU Ren-hong, TAN Wei-han 1998 Chin. Phys. Lett. 15 249-251

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Abstract The nonlinear and the exact control of chaos is deduced. Using these methods we achieve a simultaneous and instantaneous control of the scheduled unstable 2^kp points for the logistic and the Henon map. The derivatives needed in the nonlinear method have been evaluated experimentally from the time series x_n, without the pre-knowledge of the function f(x). The difficulty confronted in the optimum control may be overcome by introducing the nonlinear control.

Keywords: 05.45.+b

Published: 01 April 1998

PACS:

05.45.+b

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y1998/V15/I4/0249

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