Lagrangian descriptors for the Bunimovich stadium billiard

We apply the concept of Lagrangian descriptors to the dynamics on the Bunimovich stadium billiard, a two-dimensional ergodic system with singular families of trajectories, namely, the bouncing ball and the whispering gallery orbits. They play a central role in structuring the phase space, which is u...

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Detalles Bibliográficos
Autores: Carlo, Gabriel G., Montes, J., Borondo, Florentino
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/705916
Acceso en línea:http://hdl.handle.net/10486/705916
https://dx.doi.org/10.1103/PhysRevE.105.014208
Access Level:acceso abierto
Palabra clave:Lagrangian descriptors
Bouncing ball orbits
Whispering gallery orbits
Bunimovich stadium
Química
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spelling Lagrangian descriptors for the Bunimovich stadium billiardCarlo, Gabriel G.Montes, J.Borondo, FlorentinoLagrangian descriptorsBouncing ball orbitsWhispering gallery orbitsBunimovich stadiumQuímicaWe apply the concept of Lagrangian descriptors to the dynamics on the Bunimovich stadium billiard, a two-dimensional ergodic system with singular families of trajectories, namely, the bouncing ball and the whispering gallery orbits. They play a central role in structuring the phase space, which is unveiled here by means of the Lagrangian descriptors applied to the associated map on the boundary. More interestingly, we also consider the open stadium, which in the optical case (Fresnel's laws) can be directly related to recent microlaser experiments. We find that the structure of the emission profile of these systems can be easily described thanks to the open version of the Lagrangian descriptorsAmerican Physical SocietyDepartamento de QuímicaFacultad de Ciencias20222022-01-12research articlehttp://purl.org/coar/resource_type/c_2df8fbb1VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10486/705916https://dx.doi.org/10.1103/PhysRevE.105.014208reponame:Biblos-e Archivo. Repositorio Institucional de la UAMinstname:Universidad Autónoma de MadridInglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:repositorio.uam.es:10486/7059162026-06-23T12:46:27Z
dc.title.none.fl_str_mv Lagrangian descriptors for the Bunimovich stadium billiard
title Lagrangian descriptors for the Bunimovich stadium billiard
spellingShingle Lagrangian descriptors for the Bunimovich stadium billiard
Carlo, Gabriel G.
Lagrangian descriptors
Bouncing ball orbits
Whispering gallery orbits
Bunimovich stadium
Química
title_short Lagrangian descriptors for the Bunimovich stadium billiard
title_full Lagrangian descriptors for the Bunimovich stadium billiard
title_fullStr Lagrangian descriptors for the Bunimovich stadium billiard
title_full_unstemmed Lagrangian descriptors for the Bunimovich stadium billiard
title_sort Lagrangian descriptors for the Bunimovich stadium billiard
dc.creator.none.fl_str_mv Carlo, Gabriel G.
Montes, J.
Borondo, Florentino
author Carlo, Gabriel G.
author_facet Carlo, Gabriel G.
Montes, J.
Borondo, Florentino
author_role author
author2 Montes, J.
Borondo, Florentino
author2_role author
author
dc.contributor.none.fl_str_mv Departamento de Química
Facultad de Ciencias
dc.subject.none.fl_str_mv Lagrangian descriptors
Bouncing ball orbits
Whispering gallery orbits
Bunimovich stadium
Química
topic Lagrangian descriptors
Bouncing ball orbits
Whispering gallery orbits
Bunimovich stadium
Química
description We apply the concept of Lagrangian descriptors to the dynamics on the Bunimovich stadium billiard, a two-dimensional ergodic system with singular families of trajectories, namely, the bouncing ball and the whispering gallery orbits. They play a central role in structuring the phase space, which is unveiled here by means of the Lagrangian descriptors applied to the associated map on the boundary. More interestingly, we also consider the open stadium, which in the optical case (Fresnel's laws) can be directly related to recent microlaser experiments. We find that the structure of the emission profile of these systems can be easily described thanks to the open version of the Lagrangian descriptors
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-01-12
dc.type.none.fl_str_mv research article
http://purl.org/coar/resource_type/c_2df8fbb1
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10486/705916
https://dx.doi.org/10.1103/PhysRevE.105.014208
url http://hdl.handle.net/10486/705916
https://dx.doi.org/10.1103/PhysRevE.105.014208
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
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
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:Biblos-e Archivo. Repositorio Institucional de la UAM
instname:Universidad Autónoma de Madrid
instname_str Universidad Autónoma de Madrid
reponame_str Biblos-e Archivo. Repositorio Institucional de la UAM
collection Biblos-e Archivo. Repositorio Institucional de la UAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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