Controlling and synchronization of a hyperchaotic system based on passive control

doi:10.1088/1674-1056/21/9/090509

Abstract In this paper, a new hyperchaotic system is proposed, and the basic properties of this system are analyzed by means of equilibrium point, Poincaré map, bifurcation diagram, and Lyapunov exponents. Based on the passivity theory, the controllers are designed to achieve the new hyperchaotic system globally, asymptotically stabilized at the equilibrium point, and also realize the synchronization between the two hyperchaotic systems under different initial values respectively. Finally, the numerical simulation results show that the proposed control and synchronization schemes are effective.

Keywords: hyperchaotic system bifurcation diagram Lyapunov exponent passivity theory

Received: 16 February 2012
Revised: 15 March 2012
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Gg	(Control of chaos, applications of chaos)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 51177117) and the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20100201110023).

Corresponding Authors: Zhu Da-Rui
E-mail: zdarui@163.com

Cite this article:

Zhu Da-Rui (朱大锐), Liu Chong-Xin (刘崇新), Yan Bing-Nan (燕并男) Controlling and synchronization of a hyperchaotic system based on passive control 2012 Chin. Phys. B 21 090509

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