The parameterization method for invariant manifolds II: regularity with respect to parameters

We study the regularity with respect to parameters of the invariant manifolds associated to non-resonant subspaces obtained in the previous article [CFdlL00].

Bibliographic Details
Authors: Cabré Vilagut, Xavier|||0000-0001-5682-3135, Fontich i Julià, Ernest, Llave Canosa, Rafael de la
Format: article
Publication Date:2002
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/877
Online Access:https://hdl.handle.net/2117/877
Access Level:Open access
Keyword:Differentiable dynamical systems
parameterization method
invariant manifolds
regularity
Sistemes dinàmics diferenciables
Classificació AMS::37 Dynamical systems and ergodic theory::37D Dynamical systems with hyperbolic behavior
Description
Summary:We study the regularity with respect to parameters of the invariant manifolds associated to non-resonant subspaces obtained in the previous article [CFdlL00].