Controlling a unified chaotic system to hyperchaotic

Author

Li, Yuxia ; Chen, Guanrong ; Tang, Wallace K S

Author_Institution

Dept. of Electron. Eng., City Univ. of Hong Kong, China

Volume

52

Issue

4

fYear

2005

fDate

4/1/2005 12:00:00 AM

Firstpage

204

Lastpage

207

Abstract

This brief presents a simple technique using a sinusoidal parameter perturbation control input to drive a unified chaotic system to hyperchaotic. The original chaotic system is a three-dimensional autonomous system that has a broad spectrum of chaotic behaviors with the Lorenz and the Chen systems as two extremes of the spectrum. The control input is a simple sinusoidal function cos(ωt) with a constant parameter ω. The hyperchaotic system is not only demonstrated by computer simulations but also verified with bifurcation analysis and implemented via an electronic circuit.

Keywords

bifurcation; chaos; functions; 3D autonomous system; bifurcation analysis; chaotic behaviors; chaotic circuit; computer simulations; control input; electronic circuit; hyperchaotic system; sinusoidal function; sinusoidal parameter perturbation control; unified chaotic system; Bifurcation; Chaos; Chaotic communication; Computer simulation; Control systems; Electronic circuits; Nonlinear circuits; Optical control; Oscillators; Switches; Chaotic circuit; hyperchaos; parameter perturbation; unified chaotic system;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2004.842413

Filename

1417089