Geometry of KAM tori for nearly integrable Hamiltonian systems

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We obtain a global version of the Hamiltonian KAM theorem for invariant Lagrangean tori by glueing together local KAM conjugacies with help of a partition of unity. In this way we find a global Whitney smooth conjugacy between a nearly-integrable system and an integrable one. This leads to preservation of geometry, which allows us to define all the nontrivial geometric invariants like monodromy or Chern classes of an integrable system also for near integrable systems.
13 pages, 1 figure

Keywords

Dynamical Systems, 58F05; 58F27;58F30

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/65161

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0210043
 http://arxiv.org/abs/math/0210043

Collections

arXiv