Bifurcation analysis and circuit implementation of a simple chaos generator

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)227-232
Journal / PublicationLatin American Applied Research
Volume31
Issue number3
Publication statusPublished - Jul 2001

Abstract

A nonlinear controller is proposed for chaos generation in an arbitrarily given lower-order linear autonomous system. The only nonlinearity in the controller is a piecewise quadratic function of the form p(v) = v\v\. A general two-dimensional linear autonomous system is used for illustration. Bifurcation analysis and chaos verification are given by numerical continuation techniques and the Shil'nikov theorem. Both computer simulation and circuit implementation demonstrate the chaotic dynamics generated by this simple anti-controller.

Research Area(s)

  • Anti-control, Bifurcation, Chaos generator, Circuit implementation