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dc.contributor.authorCabré Vilagut, Xavier
dc.contributor.authorFontich i Julià, Ernest
dc.contributor.authorLlave Canosa, Rafael de la
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.description.abstractWe describe a method to establish existence and regularity of invariant manifolds and, at the same time to find simple maps which are conjugated to the dynamics on them. The method establishes several invariant manifold theorems. For instance, it reduces the proof of the usual stable manifold theorem near hyperbolic points to an application of the implicit function theorem in Banach spaces. We also present several other applications of the method.
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.subject.lcshDifferentiable dynamical systems
dc.subject.otherinvariant manifolds
dc.titleThe parameterization method for invariant manifolds III: overview and applications
dc.subject.lemacSistemes dinàmics diferenciables
dc.subject.lemacTeoria ergòdica
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::37D Dynamical systems with hyperbolic behavior
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37M Approximation methods and numerical treatment of dynamical systems
dc.rights.accessOpen Access

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