When Two Dual Chaotic Systems Shake Hands

J. C. Sprott
Department of Physics, University of Wisconsin,
Madison, WI 53706, USA

Xiong Wang
Department of Electronic Engineering, City University of Hong Kong, Hong Kong

G. Chen
Department of Electronic Engineering, City University of Hong Kong, Hong Kong

Received: January 12, 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 --> oo in the Lorenz system while t --> -oo in the Chen system. This helps better clarify and understand the relationship between these two closely related but topologically nonequivalent chaotic systems.

Ref: J. C. Sprott, X. Wang, and G. Chen, International Journal of Bifurcation and Chaos 24 1450086 (2014)