Geometry of KAM tori for nearly integrable Hamiltonian systems

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dc.creatorBroer, H. W.
dc.creatorCushman, R. H.
dc.creatorFasso, F.
dc.date2002-10-03
dc.date.accessioned2026-07-07T04:51:36Z
dc.date.available2026-07-07T04:51:36Z
dc.descriptionWe 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.
dc.description13 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0210043
dc.identifierhttp://arxiv.org/abs/math/0210043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65161
dc.subjectDynamical Systems
dc.subject58F05; 58F27;58F30
dc.titleGeometry of KAM tori for nearly integrable Hamiltonian systems
dc.typetext

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