Controlling the chaotic n-scroll Chua's circuit

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

13 Scopus Citations
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Author(s)

  • Yan-Li Zou
  • Xiao-Shu Luo
  • Pin-Qun Jiang
  • Bing-Hong Wang
  • Jin-Qing Fang
  • Hong-Jun Quan

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)2709-2714
Journal / PublicationInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume13
Issue number9
Publication statusPublished - Sep 2003

Abstract

In this paper, controlling chaos in the chaotic n-scroll Chua's circuit is studied. The approach taken is to use feedback of a single state variable in a simple PD (proportional and differential) format. First, the unstable fixed points in the n-scroll Chua's circuit are classified into two different types according to the characteristics of the eigenvalues of the linearized system matrix at the fixed points. Then, the controllability of these two-types of fixed points is studied. Theoretical analysis shows that the first type of unstable fixed points can be stabilized, at which Hopf bifurcation can also be generated. Control results of the n-scroll Chua's circuit are then demonstrated. Both theoretical analysis and numerical simulation results show that the proposed chaos control method is indeed effective.

Research Area(s)

  • Chaos control, Hopf bifurcation, N-scroll Chua's circuit

Citation Format(s)

Controlling the chaotic n-scroll Chua's circuit. / Zou, Yan-Li; Luo, Xiao-Shu; Jiang, Pin-Qun; Wang, Bing-Hong; Chen, Guanrong; Fang, Jin-Qing; Quan, Hong-Jun.

In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 13, No. 9, 09.2003, p. 2709-2714.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review