Hopf Bifurcation Control of a Hyperchaotic Circuit System

• Published in: Communications in theoretical physics Vol. 52; no. 9; pp. 457 - 462
• Main Authors: Cui-Xiang, Liang, Jia-Shi, Tang, Su-Hua, Liu, Feng, Han
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.09.2009
• Subjects: Hopf分叉; Hopf分岔; 分岔控制; 反馈控制器; 控制参数; 电路系统; 稳定极限环; 超混沌
• ISSN: 0253-6102
• DOI: 10.1088/0253-6102/52/3/15

This paper is concerned with the Hopf bifurcation control of a new hyperchaotic circuit system. The stability of the hyperchaotie circuit system depends on a selected control parameter is studied, and the critical value of the system parameter at which Hopf bifurcation occurs is investigated. Theoretical analysis give the stability of the Hopf bifurcation. In particular, washout filter aided feedback controllers are designed for delaying the bifurcation point and ensuring the stability of the bifurcated limit cycles. An important feature of the control laws is that they do not result in any change in the set of equilibria. Computer simulation results are presented to confirm the analytical predictions.