Projective synchronization of hyperchaotic system via periodically intermittent control

doi:10.1088/1674-1056/21/9/090508

中国物理B ›› 2012, Vol. 21 ›› Issue (9): 90508-090508.doi: 10.1088/1674-1056/21/9/090508

Projective synchronization of hyperchaotic system via periodically intermittent control

黄军建^{a b}, 李传东^a, 张伟^b, 韦鹏程^{a b}

a College of Computer, Chongqing University, Chongqing 400030, China;
b Department of Computer Science, Chongqing Education College, Chongqing 400067, China

收稿日期:2012-02-15 修回日期:2012-03-11 出版日期:2012-08-01 发布日期:2012-08-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 60974020), the Natural Science Foundation of Chongqing, China (Grant No. cstc2011jjA0980), and the Foundation of Chongqing Education College, China (Grant Nos. KY201112A, KY201113B, and KY201122C ).

Projective synchronization of hyperchaotic system via periodically intermittent control

Huang Jun-Jian (黄军建)^{a b}, Li Chuan-Dong (李传东)^a, Zhang Wei (张伟)^b, Wei Peng-Cheng (韦鹏程)^{a b}

a College of Computer, Chongqing University, Chongqing 400030, China;
b Department of Computer Science, Chongqing Education College, Chongqing 400067, China

Received:2012-02-15 Revised:2012-03-11 Online:2012-08-01 Published:2012-08-01
Contact: Huang Jun-Jian E-mail:hmomu@sina.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 60974020), the Natural Science Foundation of Chongqing, China (Grant No. cstc2011jjA0980), and the Foundation of Chongqing Education College, China (Grant Nos. KY201112A, KY201113B, and KY201122C ).

摘要/Abstract

摘要： We further study the projective synchronization of a new hyperchaotic system. Different from the most existing methods, intermittent control is applied to chaotic synchronization in the present paper. We formulate the intermittent control system that governs the dynamics of the projective synchronization error, then derive the sufficient conditions for the exponential stability of intermittent control system by using Lyapunov stability theory, and finally establish the periodically intermittent controller according to the stability criterion by which the projective synchronization is expected to be achieved. The analytical results are also demonstrated by several numerical simulations.

关键词: intermittent control, hyperchaotic system, projective synchronization

Abstract: We further study the projective synchronization of a new hyperchaotic system. Different from the most existing methods, intermittent control is applied to chaotic synchronization in the present paper. We formulate the intermittent control system that governs the dynamics of the projective synchronization error, then derive the sufficient conditions for the exponential stability of intermittent control system by using Lyapunov stability theory, and finally establish the periodically intermittent controller according to the stability criterion by which the projective synchronization is expected to be achieved. The analytical results are also demonstrated by several numerical simulations.

Key words: intermittent control, hyperchaotic system, projective synchronization

中图分类号: (High-dimensional chaos)

05.45.Jn

黄军建, 李传东, 张伟, 韦鹏程. Projective synchronization of hyperchaotic system via periodically intermittent control[J]. 中国物理B, 2012, 21(9): 90508-090508.

Huang Jun-Jian (黄军建), Li Chuan-Dong (李传东), Zhang Wei (张伟), Wei Peng-Cheng (韦鹏程). Projective synchronization of hyperchaotic system via periodically intermittent control[J]. Chin. Phys. B, 2012, 21(9): 90508-090508.

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Projective synchronization of hyperchaotic system via periodically intermittent control

Projective synchronization of hyperchaotic system via periodically intermittent control

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