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

7 Scopus Citations
View graph of relations


Related Research Unit(s)


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


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