Generating one-, two-, three- and four-scroll attractors from a novel four-dimensional smooth autonomous chaotic system

doi:10.1088/1674-1056/19/6/060506

Abstract A new four-dimensional quadratic smooth autonomous chaotic system is presented in this paper, which can exhibit periodic orbit and chaos under the conditions on the system parameters. Importantly, the system can generate one-, two-, three- and four-scroll chaotic attractors with appropriate choices of parameters. Interestingly, all the attractors are generated only by changing a single parameter. The dynamic analysis approach in the paper involves time series, phase portraits, Poincaré maps, a bifurcation diagram, and Lyapunov exponents, to investigate some basic dynamical behaviours of the proposed four-dimensional system.

Keywords: new smooth autonomous four-dimensional chaotic system multi-scroll chaotic attractor Poincaré mapping bifurcation Lyapunov exponent

Received: 20 October 2009
Accepted manuscript online:

PACS:	05.45.Ac	(Low-dimensional chaos)
	05.45.Tp	(Time series analysis)
	02.30.Uu	(Integral transforms)
	02.30.Yy	(Control theory)

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Sara Dadras and Hamid Reza Momeni Generating one-, two-, three- and four-scroll attractors from a novel four-dimensional smooth autonomous chaotic system 2010 Chin. Phys. B 19 060506

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Generating one-, two-, three- and four-scroll attractors from a novel four-dimensional smooth autonomous chaotic system

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