Normal forms for generalised Hopf bifurcations

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Explicit coefficients of normal forms for generalised Hopf bifurcations are calculated to the seventh (but, to save space, they are given only to the fifth) order near the critical point. The real part of the third-order coefficient reproduces, at the critical point, the third-order focal value of Andronov et al (1973).

Original languageEnglish (US)
Article number002
JournalJournal of Physics A: General Physics
Volume21
Issue number9
DOIs
StatePublished - 1988
Externally publishedYes

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Hopf bifurcation
Hopf Bifurcation
Normal Form
Critical point
critical point
Coefficient
coefficients

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Normal forms for generalised Hopf bifurcations. / Ning, Cun-Zheng.

In: Journal of Physics A: General Physics, Vol. 21, No. 9, 002, 1988.

Research output: Contribution to journalArticle

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