| Chaos control and reduced-order generalized synchronization for the Chen——Liao system |
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| 引用本文： | 李瑞红,徐伟,李爽.Chaos control and reduced-order generalized synchronization for the Chen——Liao system[J].中国物理 B,2007,16(6):1591-1596. |
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| 作者姓名： | 李瑞红 徐伟 李爽 |
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| 作者单位： | (1)Department of Applied Mathematics,
Northwestern Polytechnical University, Xi'an 710072, China; (2)Department of Applied Mathematics,
Northwestern Polytechnical University, Xi'an 710072, China
sj b) Department of Applied Mathematics, Xidian University, Xi'an 710071,
China |
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| 基金项目： | Project supported by the National Natural
Science Foundation of China (Grant Nos~10472091 and
1033203). |
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| 摘 要： | This paper deals with the problem of chaos control and
synchronization of the Chen--Liao system. From rigorous mathematic
justification, the chaotic trajectories of the Chen--Liao system are
led to a type of points whose four-dimensional coordinates have a
particular functional relation among them. Meanwhile, a new
synchronization manner, reduced-order generalized synchronization
(RGS), is proposed which has the characteristic of having a
functional relation between the slave and the partial master systems.
It is shown that this new synchronization phenomenon can be realized
by a novel technique. Numerical simulations have verified the
effectiveness of the proposed scheme.
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| 关 键 词： | Chen-Liao系统 混沌控制 RGS 同步 数值模拟 |
| 收稿时间： | 2006-08-20 |
| 修稿时间： | 2006-08-202006-12-25 |
Chaos control and reduced-order generalized synchronization for the Chen--Liao system |
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| Li Rui-Hong,Xu Wei and Li Shuang.Chaos control and reduced-order generalized synchronization for the Chen--Liao system[J].Chinese Physics B,2007,16(6):1591-1596. |
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| Authors: | Li Rui-Hong Xu Wei and Li Shuang |
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| Institution: | Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China; Department of Applied Mathematics, Xidian University, Xi'an 710071, China |
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| Abstract: | This paper deals with the problem of chaos control and
synchronization of the Chen--Liao system. From rigorous mathematic
justification, the chaotic trajectories of the Chen--Liao system are
led to a type of points whose four-dimensional coordinates have a
particular functional relation among them. Meanwhile, a new
synchronization manner, reduced-order generalized synchronization
(RGS), is proposed which has the characteristic of having a
functional relation between the slave and the partial master systems.
It is shown that this new synchronization phenomenon can be realized
by a novel technique. Numerical simulations have verified the
effectiveness of the proposed scheme. |
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| Keywords: | Chen--Liao chaotic system chaos control RGS |
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