Forming and implementing a hyperchaotic system with rich dynamics

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Article number90510
Journal / PublicationChinese Physics B
Volume20
Issue number9
Publication statusPublished - Sept 2011

Abstract

A simple three-dimensional (3D) autonomous chaotic system is extended to four-dimensions so as to generate richer nonlinear dynamics. The new system not only inherits the dynamical characteristics of its parental 3D system but also exhibits many new and complex dynamics, including assembled 1-scroll, 2-scroll and 4-scroll attractors, as well as hyperchaotic attractors, by simply tuning a single system parameter. Lyapunov exponents and bifurcation diagrams are obtained via numerical simulations to further justify the existences of chaos and hyperchaos. Finally, an electronic circuit is constructed to implement the system, with experimental and simulation results presented and compared for demonstration and verification. © 2011 Chinese Physical Society and IOP Publishing Ltd.

Research Area(s)

  • chaotic circuit, circuit implementation, hyperchaotic system, Lyapunov exponent

Citation Format(s)

Forming and implementing a hyperchaotic system with rich dynamics. / Liu, Wen-Bo; Wallace, K. S. Tang; Chen, Guan-Rong.
In: Chinese Physics B, Vol. 20, No. 9, 90510, 09.2011.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review