When Two Dual Chaotic Systems Shake Hands-Reference-Cited by-同舟云学术

When Two Dual Chaotic Systems Shake Hands

Published:2014-06 Issue:06 Volume:24 Page:1450086
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Sprott J. C.¹,Wang Xiong²,Chen Guanrong²

Affiliation:

1. Department of Physics, University of Wisconsin, Madison, WI 53706, USA

2. Department of Electronic Engineering, City University of Hong Kong, Hong Kong

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127414500862

Reference15 articles.

1. ON A GENERALIZED LORENZ CANONICAL FORM OF CHAOTIC SYSTEMS

2. YET ANOTHER CHAOTIC ATTRACTOR

3. Characterization of the Lorentz attractor by unstable periodic orbits

4. The Topology of Chaos

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