Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits

Autores
Cincotta, Pablo Miguel; Giordano, Claudia Marcela; Simó, C.
Año de publicación
2003
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we deal with an alternative technique to study global dynamics in Hamiltonian systems, the mean exponential growth factor of nearby orbits (MEGNO), that proves to be efficient to investigate both regular and stochastic components of phase space. It provides a clear picture of resonance structures, location of stable and unstable periodic orbits as well as a measure of hyperbolicity in chaotic domains which coincides with that given by the Lyapunov characteristic number. Here the MEGNO is applied to a rather simple model, the 3D perturbed quartic oscillator, in order to visualize the structure of its phase space and obtain a quite clear picture of its resonance structure. Examples of application to multi-dimensional canonical maps are also included.
Fil: Cincotta, Pablo Miguel. Universidad Nacional de la Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina
Fil: Giordano, Claudia Marcela. Universidad Nacional de la Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina
Fil: Simó, C.. Universidad de Barcelona; España
Materia
Global Dynamics
Detection of Chaos
Lyapunov Characteristic Number
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/37093
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/37093
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbitsCincotta, Pablo MiguelGiordano, Claudia MarcelaSimó, C.Global DynamicsDetection of ChaosLyapunov Characteristic Numberhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In this paper we deal with an alternative technique to study global dynamics in Hamiltonian systems, the mean exponential growth factor of nearby orbits (MEGNO), that proves to be efficient to investigate both regular and stochastic components of phase space. It provides a clear picture of resonance structures, location of stable and unstable periodic orbits as well as a measure of hyperbolicity in chaotic domains which coincides with that given by the Lyapunov characteristic number. Here the MEGNO is applied to a rather simple model, the 3D perturbed quartic oscillator, in order to visualize the structure of its phase space and obtain a quite clear picture of its resonance structure. Examples of application to multi-dimensional canonical maps are also included.Fil: Cincotta, Pablo Miguel. Universidad Nacional de la Plata. Facultad de Ciencias Astronómicas y Geofísicas; ArgentinaFil: Giordano, Claudia Marcela. Universidad Nacional de la Plata. Facultad de Ciencias Astronómicas y Geofísicas; ArgentinaFil: Simó, C.. Universidad de Barcelona; EspañaElsevier Science2003-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/37093Cincotta, Pablo Miguel; Giordano, Claudia Marcela; Simó, C.; Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits; Elsevier Science; Physica D - Nonlinear Phenomena; 182; 3-4; 12-2003; 151-1780167-2789CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/S0167-2789(03)00103-9info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0167278903001039?via%3Dihubinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:06:49Zoai:ri.conicet.gov.ar:11336/37093instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-10 13:06:49.479CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits
title Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits
spellingShingle Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits
Cincotta, Pablo Miguel
Global Dynamics
Detection of Chaos
Lyapunov Characteristic Number
title_short Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits
title_full Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits
title_fullStr Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits
title_full_unstemmed Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits
title_sort Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits
dc.creator.none.fl_str_mv Cincotta, Pablo Miguel
Giordano, Claudia Marcela
Simó, C.
author Cincotta, Pablo Miguel
author_facet Cincotta, Pablo Miguel
Giordano, Claudia Marcela
Simó, C.
author_role author
author2 Giordano, Claudia Marcela
Simó, C.
author2_role author
author
dc.subject.none.fl_str_mv Global Dynamics
Detection of Chaos
Lyapunov Characteristic Number
topic Global Dynamics
Detection of Chaos
Lyapunov Characteristic Number
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper we deal with an alternative technique to study global dynamics in Hamiltonian systems, the mean exponential growth factor of nearby orbits (MEGNO), that proves to be efficient to investigate both regular and stochastic components of phase space. It provides a clear picture of resonance structures, location of stable and unstable periodic orbits as well as a measure of hyperbolicity in chaotic domains which coincides with that given by the Lyapunov characteristic number. Here the MEGNO is applied to a rather simple model, the 3D perturbed quartic oscillator, in order to visualize the structure of its phase space and obtain a quite clear picture of its resonance structure. Examples of application to multi-dimensional canonical maps are also included.
Fil: Cincotta, Pablo Miguel. Universidad Nacional de la Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina
Fil: Giordano, Claudia Marcela. Universidad Nacional de la Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina
Fil: Simó, C.. Universidad de Barcelona; España
description In this paper we deal with an alternative technique to study global dynamics in Hamiltonian systems, the mean exponential growth factor of nearby orbits (MEGNO), that proves to be efficient to investigate both regular and stochastic components of phase space. It provides a clear picture of resonance structures, location of stable and unstable periodic orbits as well as a measure of hyperbolicity in chaotic domains which coincides with that given by the Lyapunov characteristic number. Here the MEGNO is applied to a rather simple model, the 3D perturbed quartic oscillator, in order to visualize the structure of its phase space and obtain a quite clear picture of its resonance structure. Examples of application to multi-dimensional canonical maps are also included.
publishDate 2003
dc.date.none.fl_str_mv 2003-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/37093
Cincotta, Pablo Miguel; Giordano, Claudia Marcela; Simó, C.; Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits; Elsevier Science; Physica D - Nonlinear Phenomena; 182; 3-4; 12-2003; 151-178
0167-2789
CONICET Digital
CONICET
url http://hdl.handle.net/11336/37093
identifier_str_mv Cincotta, Pablo Miguel; Giordano, Claudia Marcela; Simó, C.; Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits; Elsevier Science; Physica D - Nonlinear Phenomena; 182; 3-4; 12-2003; 151-178
0167-2789
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/S0167-2789(03)00103-9
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0167278903001039?via%3Dihub
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.993085

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