Differentiable invariant manifolds for partially hyperbolic tori and a lambda lemma

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor	Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author	Fontich i Julià, Ernest
dc.contributor.author	Martín de la Torre, Pablo
dc.date	2000
dc.identifier.uri	http://hdl.handle.net/2117/778
dc.language.iso	eng
dc.rights	Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject	Dynamical systems
dc.subject	partially hyperbolic tori
dc.subject	Differentiable invariant manifolds
dc.subject	Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
dc.title	Differentiable invariant manifolds for partially hyperbolic tori and a lambda lemma
dc.type	info:eu-repo/semantics/article
dc.description.abstract	We consider differentiable maps having an invariant torus with normal behavior having a central part. We prove the existence and regularity of pseudostable manifolds and regularity with respect to parameters. Then we prove a lambda lemma in this setting for $C^2$ maps.