On the 'hidden' harmonics associated to best approximants due to quasi-periodicity in splitting phenomena

The effects of quasi-periodicity on the splitting of invariant manifolds are examined. We have found that some harmonics, that could be expected to be dominant in some ranges of the perturbation parameter, actually are nondominant. It is proved that, under reasonable conditions, this is due to the a...

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Detalles Bibliográficos
Autores: Fontich, Ernest, 1955-, Simó, Carles, Vieiro Yanes, Arturo
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2018
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/192808
Acceso en línea:https://hdl.handle.net/2445/192808
Access Level:acceso abierto
Palabra clave:Sistemes dinàmics diferenciables
Pertorbació (Matemàtica)
Sistemes hamiltonians
Òrbites
Differentiable dynamical systems
Perturbation (Mathematics)
Hamiltonian systems
Orbits
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spelling On the 'hidden' harmonics associated to best approximants due to quasi-periodicity in splitting phenomenaFontich, Ernest, 1955-Simó, CarlesVieiro Yanes, ArturoSistemes dinàmics diferenciablesPertorbació (Matemàtica)Sistemes hamiltoniansÒrbitesDifferentiable dynamical systemsPerturbation (Mathematics)Hamiltonian systemsOrbitsThe effects of quasi-periodicity on the splitting of invariant manifolds are examined. We have found that some harmonics, that could be expected to be dominant in some ranges of the perturbation parameter, actually are nondominant. It is proved that, under reasonable conditions, this is due to the arithmetic properties of the frequencies.Pleiades Publishing2018info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://hdl.handle.net/2445/192808Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésVersió postprint del document publicat a: https://doi.org/10.1134/S1560354718060011Regular and Chaotic Dynamics, 2018, vol. 23, num. 6, p. 638-653https://doi.org/10.1134/S1560354718060011(c) Pleiades Publishing, 2018info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1928082026-05-27T06:46:51Z
dc.title.none.fl_str_mv On the 'hidden' harmonics associated to best approximants due to quasi-periodicity in splitting phenomena
title On the 'hidden' harmonics associated to best approximants due to quasi-periodicity in splitting phenomena
spellingShingle On the 'hidden' harmonics associated to best approximants due to quasi-periodicity in splitting phenomena
Fontich, Ernest, 1955-
Sistemes dinàmics diferenciables
Pertorbació (Matemàtica)
Sistemes hamiltonians
Òrbites
Differentiable dynamical systems
Perturbation (Mathematics)
Hamiltonian systems
Orbits
title_short On the 'hidden' harmonics associated to best approximants due to quasi-periodicity in splitting phenomena
title_full On the 'hidden' harmonics associated to best approximants due to quasi-periodicity in splitting phenomena
title_fullStr On the 'hidden' harmonics associated to best approximants due to quasi-periodicity in splitting phenomena
title_full_unstemmed On the 'hidden' harmonics associated to best approximants due to quasi-periodicity in splitting phenomena
title_sort On the 'hidden' harmonics associated to best approximants due to quasi-periodicity in splitting phenomena
dc.creator.none.fl_str_mv Fontich, Ernest, 1955-
Simó, Carles
Vieiro Yanes, Arturo
author Fontich, Ernest, 1955-
author_facet Fontich, Ernest, 1955-
Simó, Carles
Vieiro Yanes, Arturo
author_role author
author2 Simó, Carles
Vieiro Yanes, Arturo
author2_role author
author
dc.subject.none.fl_str_mv Sistemes dinàmics diferenciables
Pertorbació (Matemàtica)
Sistemes hamiltonians
Òrbites
Differentiable dynamical systems
Perturbation (Mathematics)
Hamiltonian systems
Orbits
topic Sistemes dinàmics diferenciables
Pertorbació (Matemàtica)
Sistemes hamiltonians
Òrbites
Differentiable dynamical systems
Perturbation (Mathematics)
Hamiltonian systems
Orbits
description The effects of quasi-periodicity on the splitting of invariant manifolds are examined. We have found that some harmonics, that could be expected to be dominant in some ranges of the perturbation parameter, actually are nondominant. It is proved that, under reasonable conditions, this is due to the arithmetic properties of the frequencies.
publishDate 2018
dc.date.none.fl_str_mv 2018
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/2445/192808
url https://hdl.handle.net/2445/192808
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/10.1134/S1560354718060011
Regular and Chaotic Dynamics, 2018, vol. 23, num. 6, p. 638-653
https://doi.org/10.1134/S1560354718060011
dc.rights.none.fl_str_mv (c) Pleiades Publishing, 2018
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) Pleiades Publishing, 2018
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Pleiades Publishing
publisher.none.fl_str_mv Pleiades Publishing
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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