Projective synchronization of hyperchaotic system via periodically intermittent control

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

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
Accepted manuscript online:

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 (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 2012 Chin. Phys. B 21 090508

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Projective synchronization of hyperchaotic system via periodically intermittent control

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