Asymptotic analysis of a new piecewise-linear chaotic system

M. A. Aziz-Alaoui; Guanrong Chen

doi:10.1142/S0218127402004218

Asymptotic analysis of a new piecewise-linear chaotic system

M. A. Aziz-Alaoui
, Guanrong Chen

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

33 Citations (Scopus)

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.

Original language	English
Pages (from-to)	147-157
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	12
Issue number	1
DOIs	https://doi.org/10.1142/S0218127402004218
Publication status	Published - 2002

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title = "Asymptotic analysis of a new piecewise-linear chaotic system",

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.",

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0036337376

UR - https://www.scopus.com/pages/publications/0036337376#tab=impact

U2 - 10.1142/S0218127402004218

DO - 10.1142/S0218127402004218

M3 - RGC 21 - Publication in refereed journal

SN - 0218-1274

VL - 12

SP - 147

EP - 157

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

IS - 1

ER -

Asymptotic analysis of a new piecewise-linear chaotic system

Abstract

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