ASYMPTOTIC ANALYSIS OF A NEW PIECEWISE-LINEAR CHAOTIC SYSTEM-Reference-Cited by-同舟云学术

ASYMPTOTIC ANALYSIS OF A NEW PIECEWISE-LINEAR CHAOTIC SYSTEM

Published:2002-01 Issue:01 Volume:12 Page:147-157
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

AZIZ-ALAOUI M. A.¹,CHEN GUANRONG²

Affiliation:

1. Lab. of Math., Université du Havre, FST, BP 540, 76058 Le Havre cedex, France

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

Abstract

Dynamical behavior of a new piecewise-linear continuous-time three-dimensional autonomous chaotic system is studied. System equilibria and their stabilities are discussed. Routes to chaos and bifurcations of the system are demonstrated with various numerical examples, where the chaotic features are justified numerically via computing the system fractal dimensions, Lyapunov exponents and power spectrum.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127402004218

Reference19 articles.

1. DIFFERENTIAL EQUATIONS WITH MULTISPIRAL ATTRACTORS

2. “LORENZ ATTRACTOR” FROM DIFFERENTIAL EQUATIONS WITH PIECEWISE-LINEAR TERMS

3. Feedback Anticontrol of Discrete Chaos

4. YET ANOTHER CHAOTIC ATTRACTOR

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