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The parameterization method for invariant manifolds III: overview and applications
dc.contributor.author | Cabré Vilagut, Xavier |
dc.contributor.author | Fontich i Julià, Ernest |
dc.contributor.author | Llave Canosa, Rafael de la |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2007-05-07T16:08:35Z |
dc.date.available | 2007-05-07T16:08:35Z |
dc.date.created | 2003 |
dc.date.issued | 2003 |
dc.identifier.uri | http://hdl.handle.net/2117/910 |
dc.description.abstract | We 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.format.extent | 63 |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 2.5 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/es/ |
dc.subject.lcsh | Differentiable dynamical systems |
dc.subject.other | invariant manifolds |
dc.title | The parameterization method for invariant manifolds III: overview and applications |
dc.type | Article |
dc.subject.lemac | Sistemes dinàmics diferenciables |
dc.subject.lemac | Teoria ergòdica |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37D Dynamical systems with hyperbolic behavior |
dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37M Approximation methods and numerical treatment of dynamical systems |
dc.rights.access | Open Access |
local.personalitzacitacio | true |
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