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When two dual chaotic systems shake hands

J. C. Sprott, Xiong Wang, Guanrong Chen

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

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.
Original languageEnglish
Article number1450086
JournalInternational Journal of Bifurcation and Chaos
Volume24
Issue number6
DOIs
Publication statusPublished - Jun 2014

Research Keywords

  • Chaos
  • Chen system
  • Lorenz system
  • topological equivalence

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