Preface of Llavefest: A broad perspective on finite and infinite dimensional dynamical systems

We prove that for any non-trivial perturbation depending on any two independent harmonics of a pendulum and a rotor there is global instability. The proof is based on the geometrical method and relies on the concrete computation of several scattering maps. A complete description of the different kin...

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Autores: Cabré Vilagut, Xavier|||0000-0001-5682-3135, Delshams Valdés, Amadeu|||0000-0003-4134-8882, Gidea, Marian, Zeng, Chongchun
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/127430
Acceso en línea:https://hdl.handle.net/2117/127430
https://dx.doi.org/10.3934/dcds.201812i
Access Level:acceso abierto
Palabra clave:Hamiltonian systems
Differentiable dynamical systems
Arnold diffusion
normally hyperbolic invariant manifolds
scattering maps.
Sistemes hamiltonians
Sistemes dinàmics diferenciables
Àrees temàtiques de la UPC::Matemàtiques i estadística
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spelling Preface of Llavefest: A broad perspective on finite and infinite dimensional dynamical systemsCabré Vilagut, Xavier|||0000-0001-5682-3135Delshams Valdés, Amadeu|||0000-0003-4134-8882Gidea, MarianZeng, ChongchunHamiltonian systemsDifferentiable dynamical systemsArnold diffusionnormally hyperbolic invariant manifoldsscattering maps.Sistemes hamiltoniansSistemes dinàmics diferenciablesÀrees temàtiques de la UPC::Matemàtiques i estadísticaWe prove that for any non-trivial perturbation depending on any two independent harmonics of a pendulum and a rotor there is global instability. The proof is based on the geometrical method and relies on the concrete computation of several scattering maps. A complete description of the different kinds of scattering maps taking place as well as the existence of piecewise smooth global scattering maps is also provided.Peer ReviewedAmerican Institute of Mathematical Sciences20182018-12-0120192019-01-23journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/127430https://dx.doi.org/10.3934/dcds.201812ireponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1274302026-05-27T15:37:01Z
dc.title.none.fl_str_mv Preface of Llavefest: A broad perspective on finite and infinite dimensional dynamical systems
title Preface of Llavefest: A broad perspective on finite and infinite dimensional dynamical systems
spellingShingle Preface of Llavefest: A broad perspective on finite and infinite dimensional dynamical systems
Cabré Vilagut, Xavier|||0000-0001-5682-3135
Hamiltonian systems
Differentiable dynamical systems
Arnold diffusion
normally hyperbolic invariant manifolds
scattering maps.
Sistemes hamiltonians
Sistemes dinàmics diferenciables
Àrees temàtiques de la UPC::Matemàtiques i estadística
title_short Preface of Llavefest: A broad perspective on finite and infinite dimensional dynamical systems
title_full Preface of Llavefest: A broad perspective on finite and infinite dimensional dynamical systems
title_fullStr Preface of Llavefest: A broad perspective on finite and infinite dimensional dynamical systems
title_full_unstemmed Preface of Llavefest: A broad perspective on finite and infinite dimensional dynamical systems
title_sort Preface of Llavefest: A broad perspective on finite and infinite dimensional dynamical systems
dc.creator.none.fl_str_mv Cabré Vilagut, Xavier|||0000-0001-5682-3135
Delshams Valdés, Amadeu|||0000-0003-4134-8882
Gidea, Marian
Zeng, Chongchun
author Cabré Vilagut, Xavier|||0000-0001-5682-3135
author_facet Cabré Vilagut, Xavier|||0000-0001-5682-3135
Delshams Valdés, Amadeu|||0000-0003-4134-8882
Gidea, Marian
Zeng, Chongchun
author_role author
author2 Delshams Valdés, Amadeu|||0000-0003-4134-8882
Gidea, Marian
Zeng, Chongchun
author2_role author
author
author
dc.subject.none.fl_str_mv Hamiltonian systems
Differentiable dynamical systems
Arnold diffusion
normally hyperbolic invariant manifolds
scattering maps.
Sistemes hamiltonians
Sistemes dinàmics diferenciables
Àrees temàtiques de la UPC::Matemàtiques i estadística
topic Hamiltonian systems
Differentiable dynamical systems
Arnold diffusion
normally hyperbolic invariant manifolds
scattering maps.
Sistemes hamiltonians
Sistemes dinàmics diferenciables
Àrees temàtiques de la UPC::Matemàtiques i estadística
description We prove that for any non-trivial perturbation depending on any two independent harmonics of a pendulum and a rotor there is global instability. The proof is based on the geometrical method and relies on the concrete computation of several scattering maps. A complete description of the different kinds of scattering maps taking place as well as the existence of piecewise smooth global scattering maps is also provided.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-12-01
2019
2019-01-23
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/127430
https://dx.doi.org/10.3934/dcds.201812i
url https://hdl.handle.net/2117/127430
https://dx.doi.org/10.3934/dcds.201812i
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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