|
Título:
|
Smooth linearization for a saddle on Banach spaces
|
|
Autor/a:
|
Munhoz Rodrigues, Hildebrando; Solà-Morales Rubió, Joan de
|
|
Otros autores:
|
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
|
Abstract:
|
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. |
|
Abstract:
|
Peer Reviewed |
|
Materia(s):
|
-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 |
|
Derechos:
|
|
|
Tipo de documento:
|
Artículo |
|
Compartir:
|
|
