ANALYSIS ON TOPOLOGICAL PROPERTIES OF THE LORENZ AND THE CHEN ATTRACTORS USING GCM-Reference-Cited by-同舟云学术

ANALYSIS ON TOPOLOGICAL PROPERTIES OF THE LORENZ AND THE CHEN ATTRACTORS USING GCM

Published:2007-08 Issue:08 Volume:17 Page:2791-2796
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

YU PEI¹,YAO WEIGUANG²,CHEN GUANRON³

Affiliation:

1. Department of Applied Mathematics, The University of Western Ontario, London, Ontario N6A 5B7, Canada

2. Department of Medical Physics, Northeastern Ontario Regional Cancer Centre, Sudbury Regional Hospital, Sudbury, Ontario P3E 5J1, Canada

3. Department of Electronic Engineering, City University of Hong Kong, China

Abstract

This letter reports a study on some topological properties of chaos using a generalized competitive mode (GCM). The Lorenz system and the Chen system are used as examples for comparison. It is shown that for typical parameter values used in the two systems, the Lorenz attractor has one pair of GCMs in competition, while the Chen attractor has two pairs of GCMs in competition. This explains why the two attractors are topologically different, and furthermore indicates that the Chen attractor is more complex than the Lorenz attractor from the dynamics point of view.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127407018762

Reference8 articles.

1. YET ANOTHER CHAOTIC ATTRACTOR

2. Deterministic Nonperiodic Flow

3. THE ESSENCE OF CHAOS

4. A NEW CHAOTIC ATTRACTOR COINED

5. BIFURCATION ANALYSIS OF CHEN'S EQUATION

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