When two dual chaotic systems shake hands

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

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Detail(s)

Original languageEnglish
Article number1450086
Journal / PublicationInternational Journal of Bifurcation and Chaos
Volume24
Issue number6
StatePublished - Jun 2014

Abstract

This letter reports an interesting finding that the parametric Lorenz system and the parametric Chen system "shake hands" at a particular point of their common parameter space, as the time variable t → +∞ in the Lorenz system while t → -∞ in the Chen system. This helps better clarify and understand the relationship between these two closely related but topologically nonequivalent chaotic systems. © 2014 World Scientific Publishing Company.

Research Area(s)

  • Chaos, Chen system, Lorenz system, topological equivalence

Citation Format(s)

When two dual chaotic systems shake hands. / Sprott, J. C.; Wang, Xiong; Chen, Guanrong.

In: International Journal of Bifurcation and Chaos, Vol. 24, No. 6, 1450086, 06.2014.

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