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Chin. Phys. B, 2012, Vol. 21(9): 090508    DOI: 10.1088/1674-1056/21/9/090508
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Projective synchronization of hyperchaotic system via periodically intermittent control

Huang Jun-Jiana b, Li Chuan-Donga, Zhang Weib, Wei Peng-Chenga b
a College of Computer, Chongqing University, Chongqing 400030, China;
b Department of Computer Science, Chongqing Education College, Chongqing 400067, China
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.
Keywords:  intermittent control      hyperchaotic system      projective synchronization  
Received:  15 February 2012      Revised:  11 March 2012      Published:  01 August 2012
PACS:  05.45.Jn (High-dimensional chaos)  
Fund: 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 ).
Corresponding Authors:  Huang Jun-Jian     E-mail:  hmomu@sina.com

Cite this article: 

Huang Jun-Jian, Li Chuan-Dong, Zhang Wei, Wei Peng-Cheng Projective synchronization of hyperchaotic system via periodically intermittent control 2012 Chin. Phys. B 21 090508

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