An open plus nonlinear closed loop control of chaotic oscillators

doi:10.1088/1009-1963/11/9/309

中国物理B ›› 2002, Vol. 11 ›› Issue (9): 900-904.doi: 10.1088/1009-1963/11/9/309

An open plus nonlinear closed loop control of chaotic oscillators

陈立群

Department of Mechanics, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

收稿日期:2001-11-21 修回日期:2002-03-11 出版日期:2005-06-12 发布日期:2005-06-12
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No 10082003), and the Science and Technology Development Foundation for Shanghai Higher Education Institutes.

An open plus nonlinear closed loop control of chaotic oscillators

Chen Li-Qun (陈立群)

Department of Mechanics, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

Received:2001-11-21 Revised:2002-03-11 Online:2005-06-12 Published:2005-06-12
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No 10082003), and the Science and Technology Development Foundation for Shanghai Higher Education Institutes.

摘要/Abstract

摘要： An open plus nonlinear closed loop control law is presented for chaotic oscillations described by a set of non-autonomous second-order ordinary differential equations. It is proven that the basins of entrainment are global when the right-hand sides of the equations are given by arbitrary polynomial functions. The forced Duffing oscillator and the forced van der Pol oscillator are treated as numerical examples to demonstrate the applications of the method.

Abstract: An open plus nonlinear closed loop control law is presented for chaotic oscillations described by a set of non-autonomous second-order ordinary differential equations. It is proven that the basins of entrainment are global when the right-hand sides of the equations are given by arbitrary polynomial functions. The forced Duffing oscillator and the forced van der Pol oscillator are treated as numerical examples to demonstrate the applications of the method.

Key words: chaos control, entrainment basin, oscillator

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

05.45.Xt (Synchronization; coupled oscillators) 02.30.Hq (Ordinary differential equations)

陈立群. An open plus nonlinear closed loop control of chaotic oscillators[J]. 中国物理B, 2002, 11(9): 900-904.

Chen Li-Qun (陈立群). An open plus nonlinear closed loop control of chaotic oscillators[J]. Chinese Physics, 2002, 11(9): 900-904.

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An open plus nonlinear closed loop control of chaotic oscillators

An open plus nonlinear closed loop control of chaotic oscillators

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