A note on hopf bifurcation in chen's system

Changpin Li, Guanrong Chen

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

61 Citations (Scopus)

Abstract

Hopf bifurcation in Chen's system was presented. The linear space defined on the complex number field was also discussed. The results showed that the Hopf bifurcation was nondegenerate and supercritical. A unique and stable limit cycle bifurcated from the equilibrium via the Hopf bifurcation.
Original languageEnglish
Pages (from-to)1609-1615
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume13
Issue number6
DOIs
Publication statusPublished - Jun 2003

Research Keywords

  • Chen's system
  • Hopf bifurcation
  • The first Lyapunov coefficient

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