Nonlinear feedback control of a novel hyperchaotic system and its circuit implementation

doi:10.1088/1674-1056/19/3/030509

Abstract This paper reports a new hyperchaotic system by adding an additional state variable into a three-dimensional chaotic dynamical system. Some of its basic dynamical properties, such as the hyperchaotic attractor, Lyapunov exponents, bifurcation diagram and the hyperchaotic attractor evolving into periodic, quasi-periodic dynamical behaviours by varying parameter k are studied. An effective nonlinear feedback control method is used to suppress hyperchaos to unstable equilibrium. Furthermore, a circuit is designed to realize this new hyperchaotic system by electronic workbench (EWB). Numerical simulations are presented to show these results.

Keywords: hyperchaos nonlinear feedback control Lyapunov exponents chaos circuit

Received: 07 August 2009
Revised: 24 August 2009
Accepted manuscript online:

PACS:	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Pq	(Numerical simulations of chaotic systems)
	02.30.Oz	(Bifurcation theory)
	84.30.Bv	(Circuit theory)
	02.30.Yy	(Control theory)

Fund: Project supported by the National Natural Science Foundations of China (Grant Nos.~70571030 and 90610031), the Society Science Foundation from Ministry of Education of China (Grant No.~08JA790057) and the Advanced Talents' Foundation and Student's Foundation of Jiangsu University (Grant Nos.~07JDG054 and 07A075).

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Wang Hao-Xiang(汪浩祥), Cai Guo-Liang(蔡国梁), Miao Sheng(缪盛), and Tian Li-Xin(田立新) Nonlinear feedback control of a novel hyperchaotic system and its circuit implementation 2010 Chin. Phys. B 19 030509

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Nonlinear feedback control of a novel hyperchaotic system and its circuit implementation

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