Unique normal forms for nilpotent planar vector fields

Guoting Chen*, Duo Wang, Xiaofeng Wang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


Further reduction of normal forms for nilpotent planar vector fields has been considered. Unique normal form for a special case of an unsolved problem for the Takens-Bogdanov singularity is given. Computations in Maple are used to conjecture the main results and some computations in the proof are also done with Maple.

Original languageEnglish
Pages (from-to)2159-2174
Number of pages16
JournalInternational Journal of Bifurcation and Chaos
Issue number10
Publication statusPublished - Oct 2002
Externally publishedYes


  • Linear grading
  • Nilpotent vector field
  • Normal form

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