Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800
1Department of Physics, Shanghai University, Shanghai 201800
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
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 2kp points for the logistic and the Henon map. The derivatives needed in the nonlinear method have been evaluated experimentally from the time series xn, without the pre-knowledge of the function f(x). The difficulty confronted in the optimum control may be overcome by introducing the nonlinear control.
LIU Ren-hong;TAN Wei-han. Nonlinear Control of Chaos[J]. 中国物理快报, 1998, 15(4): 249-251.
LIU Ren-hong, TAN Wei-han. Nonlinear Control of Chaos. Chin. Phys. Lett., 1998, 15(4): 249-251.