Diffusion in multidimensional Hamiltonian Systems Application to Galactic Dynamics

Autores
Cincotta, Pablo Miguel; Giordano, Claudia Marcela
Año de publicación
2011
Idioma
inglés
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
In the present lectures we provide results and discussions concerning the processes that lead to local and global chaotic diffusion in phase space of multidimensional conservative systems. We investigate and provide a measure of the extent of the domain over which diffusion may occur. All these issues are thoroughly discussed by dealing with a toy model such as the perturbed quartic oscillator as well as with a multidimensional conservative map that would be representative of the dynamics of a resonance interaction, which is an important mechanism in several astronomical systems, like the Solar System or galaxies. Most of the contents of the present lectures are based on previous works of the authors already published in several journals.
Facultad de Ciencias Astronómicas y Geofísicas
Instituto de Astrofísica de La Plata
Materia
Ciencias Astronómicas
local and global chaotic diffusion
phase space
Hamiltonian systems
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/167642
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/167642
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Diffusion in multidimensional Hamiltonian Systems Application to Galactic DynamicsCincotta, Pablo MiguelGiordano, Claudia MarcelaCiencias Astronómicaslocal and global chaotic diffusionphase spaceHamiltonian systemsIn the present lectures we provide results and discussions concerning the processes that lead to local and global chaotic diffusion in phase space of multidimensional conservative systems. We investigate and provide a measure of the extent of the domain over which diffusion may occur. All these issues are thoroughly discussed by dealing with a toy model such as the perturbed quartic oscillator as well as with a multidimensional conservative map that would be representative of the dynamics of a resonance interaction, which is an important mechanism in several astronomical systems, like the Solar System or galaxies. Most of the contents of the present lectures are based on previous works of the authors already published in several journals.Facultad de Ciencias Astronómicas y GeofísicasInstituto de Astrofísica de La Plata2011-07info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionObjeto de conferenciahttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdf185-216http://sedici.unlp.edu.ar/handle/10915/167642enginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T17:25:33Zoai:sedici.unlp.edu.ar:10915/167642Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:25:33.713SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Diffusion in multidimensional Hamiltonian Systems Application to Galactic Dynamics
title Diffusion in multidimensional Hamiltonian Systems Application to Galactic Dynamics
spellingShingle Diffusion in multidimensional Hamiltonian Systems Application to Galactic Dynamics
Cincotta, Pablo Miguel
Ciencias Astronómicas
local and global chaotic diffusion
phase space
Hamiltonian systems
title_short Diffusion in multidimensional Hamiltonian Systems Application to Galactic Dynamics
title_full Diffusion in multidimensional Hamiltonian Systems Application to Galactic Dynamics
title_fullStr Diffusion in multidimensional Hamiltonian Systems Application to Galactic Dynamics
title_full_unstemmed Diffusion in multidimensional Hamiltonian Systems Application to Galactic Dynamics
title_sort Diffusion in multidimensional Hamiltonian Systems Application to Galactic Dynamics
dc.creator.none.fl_str_mv Cincotta, Pablo Miguel
Giordano, Claudia Marcela
author Cincotta, Pablo Miguel
author_facet Cincotta, Pablo Miguel
Giordano, Claudia Marcela
author_role author
author2 Giordano, Claudia Marcela
author2_role author
dc.subject.none.fl_str_mv Ciencias Astronómicas
local and global chaotic diffusion
phase space
Hamiltonian systems
topic Ciencias Astronómicas
local and global chaotic diffusion
phase space
Hamiltonian systems
dc.description.none.fl_txt_mv In the present lectures we provide results and discussions concerning the processes that lead to local and global chaotic diffusion in phase space of multidimensional conservative systems. We investigate and provide a measure of the extent of the domain over which diffusion may occur. All these issues are thoroughly discussed by dealing with a toy model such as the perturbed quartic oscillator as well as with a multidimensional conservative map that would be representative of the dynamics of a resonance interaction, which is an important mechanism in several astronomical systems, like the Solar System or galaxies. Most of the contents of the present lectures are based on previous works of the authors already published in several journals.
Facultad de Ciencias Astronómicas y Geofísicas
Instituto de Astrofísica de La Plata
description In the present lectures we provide results and discussions concerning the processes that lead to local and global chaotic diffusion in phase space of multidimensional conservative systems. We investigate and provide a measure of the extent of the domain over which diffusion may occur. All these issues are thoroughly discussed by dealing with a toy model such as the perturbed quartic oscillator as well as with a multidimensional conservative map that would be representative of the dynamics of a resonance interaction, which is an important mechanism in several astronomical systems, like the Solar System or galaxies. Most of the contents of the present lectures are based on previous works of the authors already published in several journals.
publishDate 2011
dc.date.none.fl_str_mv 2011-07
dc.type.none.fl_str_mv info:eu-repo/semantics/conferenceObject
info:eu-repo/semantics/publishedVersion
Objeto de conferencia
http://purl.org/coar/resource_type/c_5794
info:ar-repo/semantics/documentoDeConferencia
format conferenceObject
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/167642
url http://sedici.unlp.edu.ar/handle/10915/167642
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
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eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
185-216
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instname:Universidad Nacional de La Plata
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reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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