A simple yet complex one-parameter family of generalized Lorenz-like systems

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

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Detail(s)

Original languageEnglish
Article number1250116
Journal / PublicationInternational Journal of Bifurcation and Chaos
Volume22
Issue number5
Publication statusPublished - May 2012

Abstract

This paper reports the finding of a simple one-parameter family of three-dimensional quadratic autonomous chaotic systems. By tuning the only parameter, this system can continuously generate a variety of cascading Lorenz-like attractors, which appears to be richer than the unified chaotic system that contains the Lorenz and the Chen systems as its two extremes. Although this new family of chaotic systems has very rich and complex dynamics, it has a very simple algebraic structure with only two quadratic terms (same as the Lorenz and the Chen systems) and all nonzero coefficients in the linear part being -1 except one -0.1 (thus, simpler than the Lorenz and Chen systems). Surprisingly, although this new system belongs to the Lorenz-type of systems in the classification of the generalized Lorenz canonical form, it can generate not only Lorenz-like attractors but also Chen-like attractors. This suggests that there may exist some other unknown yet more essential algebraic characteristics for describing general three-dimensional quadratic autonomous chaotic systems. © 2012 World Scientific Publishing Company.

Research Area(s)

  • Chaotic attractor, Chen system, generalized Lorenz canonical form, Lorenz system

Citation Format(s)

A simple yet complex one-parameter family of generalized Lorenz-like systems. / Wang, Xiong; Chen, Juan; Lu, Jun-An et al.
In: International Journal of Bifurcation and Chaos, Vol. 22, No. 5, 1250116, 05.2012.

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