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Smooth linearization for a saddle on Banach spaces

dc.contributor.authorMunhoz Rodrigues, Hildebrando
dc.contributor.authorSolà-Morales Rubió, Joan de
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2007-05-04T16:42:57Z
dc.date.available2007-05-04T16:42:57Z
dc.date.created2003
dc.date.issued2003
dc.identifier.citationRodrigues, Hildebrando M.; Solé-Morales, J. Smooth Linearization for a Saddle on Banach Spaces. Journal of Dynamics and Differential Equations, vol. 16, issue 3 (2004), p. 767-793.
dc.identifier.urihttp://hdl.handle.net/2117/885
dc.description.abstractAs a continuation of a previous work on linearization of class C1 of diffeomorphisms and flows in infinite dimensions near a fixed point, in this work we deal with the case of a saddle point with some non-resonance restrictions for the linear part. Our result can be seen as an extension of results by P. Hartman [2] and Aronson, Belitskii and Zhuzhoma [1] in dimension two. We also present an application to a system of nonlinear wave equations.
dc.format.extent26 pages
dc.language.isoeng
dc.subject.lcshDifferential equations
dc.subject.lcshPartial differential equations
dc.subject.lcshDifferentiable dynamical systems
dc.subject.otherlinearization
dc.subject.otherconjugacy
dc.subject.otherwave equation
dc.titleSmooth linearization for a saddle on Banach spaces
dc.typeArticle
dc.subject.lemacEquacions diferencials ordinàries
dc.subject.lemacEquacions en derivades parcials
dc.subject.lemacSistemes dinàmics diferenciables
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::34 Ordinary differential equations::34G Differential equations in abstract spaces
dc.subject.amsClassificació AMS::34 Ordinary differential equations::34D Stability theory
dc.subject.amsClassificació AMS::35 Partial differential equations::35L Partial differential equations of hyperbolic type
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37L Infinite-dimensional dissipative dynamical systems
dc.rights.accessOpen Access
local.personalitzacitaciotrue


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