Forming and implementing a hyperchaotic system with rich dynamics

doi:10.1088/1674-1056/20/9/090510

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.

Keywords: chaotic circuit circuit implementation hyperchaotic system Lyapunov exponent

Received: 27 September 2010
Revised: 30 May 2011
Accepted manuscript online:

PACS:

05.45.Jn

(High-dimensional chaos)

Cite this article:

Liu Wen-Bo(刘文波), Wallace K. S. Tang(邓榤生), and Chen Guan-Rong(陈关荣) Forming and implementing a hyperchaotic system with rich dynamics 2011 Chin. Phys. B 20 090510

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