dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Bounemoura, Abed |
dc.date.accessioned |
2013-01-31T10:50:29Z |
dc.date.available |
2013-01-31T10:50:29Z |
dc.date.created |
2012-12-01 |
dc.date.issued |
2012-12-01 |
dc.identifier.uri |
http://hdl.handle.net/2072/206094 |
dc.format.extent |
21 p. |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation.ispartofseries |
Prepublicacions del Centre de Recerca Matemàtica;1133 |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.rights |
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.source |
RECERCAT (Dipòsit de la Recerca de Catalunya) |
dc.subject.other |
Varietats (Matemàtica) |
dc.subject.other |
Formes (Matemàtica) |
dc.subject.other |
Estabilitat |
dc.subject.other |
Hamilton, Sistemes de |
dc.title |
Normal forms, stability and splitting of invariant manifolds II. Finitely differentiable Hamiltonians |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
517 - Anàlisi |
dc.embargo.terms |
cap |
dc.description.abstract |
This paper is a sequel to ``Normal forms, stability and splitting of invariant manifolds I. Gevrey Hamiltonians", in which we gave a new construction of resonant normal forms with an exponentially small remainder for near-integrable Gevrey Hamiltonians at a quasi-periodic frequency, using a method of periodic approximations. In this second part we focus on finitely differentiable Hamiltonians, and we derive normal forms with a polynomially small remainder. As applications, we obtain a polynomially large upper bound on the stability time for the evolution of the action variables and a polynomially small upper bound on the splitting of invariant manifolds for hyperbolic tori. |