Sternberg theorem for equivariant Hamiltonian vector fields

G. R. Belitskii, A. Ya Kopanskii

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


Linear symmetries and anti-symmetries of smooth hamiltonian vector fields were considered. A hamiltonian equivariant version of Sternberg Theorem was proved. A smooth conjugacy in Sternberg Theorem could be chosen canonical and symmetric, provided that the symmetry group was compact.

Original languageEnglish
Pages (from-to)4491-4499
Number of pages9
JournalNonlinear Analysis, Theory, Methods and Applications
Issue number7
StatePublished - 1 Aug 2001


  • Equivariant vector fields
  • Hamiltonian vector fields
  • Smooth normal forms

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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