Local bifurcations of the Chen system

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

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Detail(s)

Original languageEnglish
Pages (from-to)2257-2270
Journal / PublicationInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume12
Issue number10
Publication statusPublished - Oct 2002

Abstract

This paper introduces a new practical method for distinguishing chaotic, periodic and quasi-periodic orbits based on a new criterion, and apply it to investigate the local bifurcations of the Chen system. Conditions for supercritical and subcritical bifurcations are obtained, with their parameter domains specified. The analytic results are also verified by numerical simulation studies.

Research Area(s)

  • Chen system, Local bifurcation, Subcritical, Supercritical