Skip to main content
Article thumbnail
Location of Repository

Analytic invariants for the $1:-1$ resonance

By Jose Pedro Gaivao

Abstract

Associated to analytic Hamiltonian vector fields in $\mathbb{C}^4$ having an equilibrium point satisfying a non semisimple $1:-1$ resonance, we construct two universal constants that are invariant with respect to local analytic symplectic changes of coordinates. These invariants vanish when the Hamiltonian is integrable. We also prove that one of these invariants does not vanish on an open and dense set.Comment: 48 pages, 5 figure

Topics: Mathematics - Dynamical Systems, 37J20, 34M40
Year: 2013
OAI identifier: oai:arXiv.org:1105.1349
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://arxiv.org/abs/1105.1349 (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.