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KAM Theory without action--angle variables

dc.contributor.authorGonzález, Alejandra
dc.contributor.authorJorba, Angel
dc.contributor.authorLlave Canosa, Rafael de la
dc.contributor.authorVillanueva Castelltort, Jordi
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2007-05-02T18:29:21Z
dc.date.available2007-05-02T18:29:21Z
dc.date.created2003
dc.date.issued2003
dc.identifier.urihttp://hdl.handle.net/2117/853
dc.description.abstractGiven a torus approximately invariant under a symplectic map, we find sufficient conditions for the existence of a true invariant torus close to the given one. We do not assume either that we are working on action-angle variables nor that the map is close to integrable. The proposed method is also useful to compute numerically invariant tori for symplectic maps. Analogous results are also true for vector fields.
dc.format.extent56
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject.lcshHamiltonian systems
dc.subject.otherKAM Theory
dc.titleKAM Theory without action--angle variables
dc.typeArticle
dc.subject.lemacHamilton, Sistemes de
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
dc.rights.accessOpen Access
local.personalitzacitaciotrue


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