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Title:
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Smooth linearization for a saddle on Banach spaces
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Author:
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Munhoz Rodrigues, Hildebrando; Solà-Morales Rubió, Joan de
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
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Abstract:
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As 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. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Differential equations
-Partial differential equations
-Differentiable dynamical systems
-linearization
-conjugacy
-wave equation
-Equacions diferencials ordinàries
-Equacions en derivades parcials
-Sistemes dinàmics diferenciables
-Classificació AMS::34 Ordinary differential equations::34G Differential equations in abstract spaces
-Classificació AMS::34 Ordinary differential equations::34D Stability theory
-Classificació AMS::35 Partial differential equations::35L Partial differential equations of hyperbolic type
-Classificació AMS::37 Dynamical systems and ergodic theory::37L Infinite-dimensional dissipative dynamical systems |
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Rights:
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Document type:
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Article |
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