On a dynamical system with multiple chaotic attractors

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

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Detail(s)

Original languageEnglish
Pages (from-to)3235-3251
Journal / PublicationInternational Journal of Bifurcation and Chaos
Volume17
Issue number9
Publication statusPublished - Sep 2007

Abstract

The chaotic behavior of the Rabinovich-Fabrikant system, a model with multiple topologically different chaotic attractors, is analyzed. Because of the complexity of this system, analytical and numerical studies of the system are very difficult tasks. Following the investigation of this system carried out in [Danca & Chen, 2004], this paper verifies the presence of multiple chaotic attractors in the system. Moreover, the Monte Carlo hypothesis test (or, equivalently, surrogate data test) is applied to the system for the detection of chaos. © World Scientific Publishing Company.

Research Area(s)

  • Chaos detection, LIL algorithm, Monte Carlo hypothesis test, Multiple attractors, Rabinovich-fabrikant system, Surrogate data test

Citation Format(s)

On a dynamical system with multiple chaotic attractors. / Luo, Xiaodong; Small, Michael; Danca, Marius-F.; Chen, Guanrong.

In: International Journal of Bifurcation and Chaos, Vol. 17, No. 9, 09.2007, p. 3235-3251.

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