Normal Forms and Sternberg Conjugation Theorems for Infinite Dimensional Coupled Map Lattices

In this paper we present local Sternberg conjugation theorems near attracting fixed points for lattice systems. The interactions are spatially decaying and are not restricted to finite distance. The conjugations obtained retain the same spatial decay. In the presence of resonances the conjugations a...

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Detalles Bibliográficos
Autores: Berenguel Montoro, Rubén, Fontich, Ernest, 1955-
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2021
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/193789
Acceso en línea:https://hdl.handle.net/2445/193789
Access Level:acceso abierto
Palabra clave:Sistemes dinàmics diferenciables
Teoria de la bifurcació
Teoria ergòdica
Dinàmica reticular
Differentiable dynamical systems
Bifurcation theory
Ergodic theory
Lattice dynamics
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spelling Normal Forms and Sternberg Conjugation Theorems for Infinite Dimensional Coupled Map LatticesBerenguel Montoro, RubénFontich, Ernest, 1955-Sistemes dinàmics diferenciablesTeoria de la bifurcacióTeoria ergòdicaDinàmica reticularDifferentiable dynamical systemsBifurcation theoryErgodic theoryLattice dynamicsIn this paper we present local Sternberg conjugation theorems near attracting fixed points for lattice systems. The interactions are spatially decaying and are not restricted to finite distance. The conjugations obtained retain the same spatial decay. In the presence of resonances the conjugations are to a polynomial normal form that also has decaying properties.Springer Science + Business Media2023202320212023info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersion27 p.application/pdfhttps://hdl.handle.net/2445/193789Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésVersió postprint del document publicat a: https://doi.org/10.1007/s10884-020-09935-3Journal of Dynamics and Differential Equations, 2021, vol. 33, num. 1, p. 275-301https://doi.org/10.1007/s10884-020-09935-3(c) Springer Science + Business Media, 2021info:eu-repo/semantics/openAccessoai:recercat.cat:2445/1937892026-05-29T05:05:01Z
dc.title.none.fl_str_mv Normal Forms and Sternberg Conjugation Theorems for Infinite Dimensional Coupled Map Lattices
title Normal Forms and Sternberg Conjugation Theorems for Infinite Dimensional Coupled Map Lattices
spellingShingle Normal Forms and Sternberg Conjugation Theorems for Infinite Dimensional Coupled Map Lattices
Berenguel Montoro, Rubén
Sistemes dinàmics diferenciables
Teoria de la bifurcació
Teoria ergòdica
Dinàmica reticular
Differentiable dynamical systems
Bifurcation theory
Ergodic theory
Lattice dynamics
title_short Normal Forms and Sternberg Conjugation Theorems for Infinite Dimensional Coupled Map Lattices
title_full Normal Forms and Sternberg Conjugation Theorems for Infinite Dimensional Coupled Map Lattices
title_fullStr Normal Forms and Sternberg Conjugation Theorems for Infinite Dimensional Coupled Map Lattices
title_full_unstemmed Normal Forms and Sternberg Conjugation Theorems for Infinite Dimensional Coupled Map Lattices
title_sort Normal Forms and Sternberg Conjugation Theorems for Infinite Dimensional Coupled Map Lattices
dc.creator.none.fl_str_mv Berenguel Montoro, Rubén
Fontich, Ernest, 1955-
author Berenguel Montoro, Rubén
author_facet Berenguel Montoro, Rubén
Fontich, Ernest, 1955-
author_role author
author2 Fontich, Ernest, 1955-
author2_role author
dc.subject.none.fl_str_mv Sistemes dinàmics diferenciables
Teoria de la bifurcació
Teoria ergòdica
Dinàmica reticular
Differentiable dynamical systems
Bifurcation theory
Ergodic theory
Lattice dynamics
topic Sistemes dinàmics diferenciables
Teoria de la bifurcació
Teoria ergòdica
Dinàmica reticular
Differentiable dynamical systems
Bifurcation theory
Ergodic theory
Lattice dynamics
description In this paper we present local Sternberg conjugation theorems near attracting fixed points for lattice systems. The interactions are spatially decaying and are not restricted to finite distance. The conjugations obtained retain the same spatial decay. In the presence of resonances the conjugations are to a polynomial normal form that also has decaying properties.
publishDate 2021
dc.date.none.fl_str_mv 2021
2023
2023
2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/193789
url https://hdl.handle.net/2445/193789
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Versió postprint del document publicat a: https://doi.org/10.1007/s10884-020-09935-3
Journal of Dynamics and Differential Equations, 2021, vol. 33, num. 1, p. 275-301
https://doi.org/10.1007/s10884-020-09935-3
dc.rights.none.fl_str_mv (c) Springer Science + Business Media, 2021
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) Springer Science + Business Media, 2021
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 27 p.
application/pdf
dc.publisher.none.fl_str_mv Springer Science + Business Media
publisher.none.fl_str_mv Springer Science + Business Media
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.81155

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