Snapshots of dynamical evolution of attractors from Chua´s oscillator

Author

Kévorkian, Philippe

Author_Institution

Ecole Nat. Superieure de l´´Aeronaut. et de l´´Espace, Toulouse, France

Volume

40

Issue

10

fYear

1993

fDate

10/1/1993 12:00:00 AM

Firstpage

762

Lastpage

780

Abstract

Chua´s oscillator is the simplest circuit with the most complex chaotic dynamics in the universe of all 21-parameter family C of continuous odd-symmetric piecewise-linear vector-fields. Consequently, an in-depth understanding of this circuit suffices to explain the nonlinear dynamics of all chaotic circuits and systems belonging to C. Our goal in this tutorial is to present a sequence of snapshots that shows the detailed dynamical evolution that led to the birth of distinct strange attractors corresponding to several standard routes to chaos

Keywords

chaos; nonlinear network analysis; oscillators; piecewise-linear techniques; 21-parameter family C; Chua´s oscillator; chaos; chaotic circuits; chaotic dynamics; continuous odd-symmetric vector fields; dynamical evolution; nonlinear dynamics; piecewise-linear vector-fields; strange attractors; Chaos; Circuits and systems; Differential equations; Diodes; Inductors; Piecewise linear techniques; Resistors; Virtual reality; Voltage-controlled oscillators;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.246151

Filename

246151