dc.contributor
Centre de Recerca Matemàtica
dc.contributor.author
Bounemoura, Abed
dc.date.accessioned
2013-01-31T10:50:29Z
dc.date.accessioned
2024-09-19T13:31:38Z
dc.date.available
2013-01-31T10:50:29Z
dc.date.available
2024-09-19T13:31:38Z
dc.date.created
2012-12-01
dc.date.issued
2012-12-01
dc.identifier.uri
http://hdl.handle.net/2072/206094
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.
eng
dc.format.extent
21 p.
cat
dc.publisher
Centre de Recerca Matemàtica
cat
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)
cat
dc.subject.other
Formes (Matemàtica)
cat
dc.subject.other
Estabilitat
cat
dc.subject.other
Hamilton, Sistemes de
cat
dc.title
Normal forms, stability and splitting of invariant manifolds II. Finitely differentiable Hamiltonians
cat
dc.type
info:eu-repo/semantics/preprint
cat
