Unique orbital normal form for vector fields of hopf-zero singularity

Guoting Chen, Duo Wang*, Jiazhong Yang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


Normal forms for vector fields of Hopf-zero singularity in R 3 are studied. Multiple Lie bracket method is used to give unique normal forms under both conjugacy and orbital equivalence for such vector fields with a generic quadratic part.

Original languageEnglish
Pages (from-to)3-20
Number of pages18
JournalJournal of Dynamics and Differential Equations
Issue number1
Publication statusPublished - Jan 2005
Externally publishedYes


  • Conjugacy
  • Orbital equivalence
  • Unique normal forms
  • Vector fields

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