Function projective synchronization in partially linear drive–response chaotic systems

doi:10.1088/1674-1056/19/12/120511

中国物理B ›› 2010, Vol. 19 ›› Issue (12): 120511-120511.doi: 10.1088/1674-1056/19/12/120511

Function projective synchronization in partially linear drive–response chaotic systems

张荣, 徐振源

School of Science, Jiangnan University, Wuxi 214122, China

收稿日期:2010-02-27 修回日期:2010-05-13 出版日期:2010-12-15 发布日期:2010-12-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 60875036) and the Program for Innovative Research Team of Jiangnan University.

Function projective synchronization in partially linear drive–response chaotic systems

Zhang Rong(张荣)^† and Xu Zhen-Yuan(徐振源)

School of Science, Jiangnan University, Wuxi 214122, China

Received:2010-02-27 Revised:2010-05-13 Online:2010-12-15 Published:2010-12-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 60875036) and the Program for Innovative Research Team of Jiangnan University.

摘要/Abstract

摘要： This paper gives the definition of function projective synchronization with less conservative demand for a scaling function, and investigates the function projective synchronization in partially linear drive–response chaotic systems. Based on the Lyapunov stability theory, it has been shown that the function projective synchronization with desired scaling function can be realized by simple control law. Moreover it does not need scaling function to be differentiable, bounded and non-vanished. The numerical simulations are provided to verify the theoretical result.

Abstract: This paper gives the definition of function projective synchronization with less conservative demand for a scaling function, and investigates the function projective synchronization in partially linear drive–response chaotic systems. Based on the Lyapunov stability theory, it has been shown that the function projective synchronization with desired scaling function can be realized by simple control law. Moreover it does not need scaling function to be differentiable, bounded and non-vanished. The numerical simulations are provided to verify the theoretical result.

Key words: function projective synchronization, projective synchronization, scaling function, partially linear system

中图分类号: (Functional analysis)

02.30.Sa

02.30.Yy (Control theory) 05.45.Pq (Numerical simulations of chaotic systems) 05.45.Xt (Synchronization; coupled oscillators)

张荣, 徐振源. Function projective synchronization in partially linear drive–response chaotic systems[J]. 中国物理B, 2010, 19(12): 120511-120511.

Zhang Rong(张荣) and Xu Zhen-Yuan(徐振源). Function projective synchronization in partially linear drive–response chaotic systems[J]. Chin. Phys. B, 2010, 19(12): 120511-120511.

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Function projective synchronization in partially linear drive–response chaotic systems

Function projective synchronization in partially linear drive–response chaotic systems

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