Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method

Autores
Cincotta, Pablo Miguel; Giordano, Claudia Marcela
Año de publicación
2016
Idioma
inglés
Tipo de recurso
parte de libro
Estado
versión publicada
Descripción
Springer-Verlag Berlin Heidelberg(Review por invitación)In this chapter we discuss in a pedagogical way and from the verybeginning the "Mean Exponential Growth factor of Nearby Orbits method" (MEGNO), that has proven, in the last ten years, to be efficient to investigate both regular and chaotic components of phase space of a Hamiltonian system. It is a fast indicator that provides a clear picture of the resonance structure, the location of stable and unstable periodic orbits as well as a measure of hyperbolicity in chaotic domains which coincides with that given by the maximum Lyapunov characteristic exponent but in a shorter evolution time. Applications of the MEGNO to simple discrete and continuous dynamical systems are discussed and an overview of the stability studies presentin the literature encompassing quite different dynamical systems is provided.
Fil: Cincotta, Pablo Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina
Fil: Giordano, Claudia Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina
Materia
DYNAMICAL SYSTEMS
CHAOS
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:11336/143164
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) methodCincotta, Pablo MiguelGiordano, Claudia MarcelaDYNAMICAL SYSTEMSCHAOShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Springer-Verlag Berlin Heidelberg(Review por invitación)In this chapter we discuss in a pedagogical way and from the verybeginning the "Mean Exponential Growth factor of Nearby Orbits method" (MEGNO), that has proven, in the last ten years, to be efficient to investigate both regular and chaotic components of phase space of a Hamiltonian system. It is a fast indicator that provides a clear picture of the resonance structure, the location of stable and unstable periodic orbits as well as a measure of hyperbolicity in chaotic domains which coincides with that given by the maximum Lyapunov characteristic exponent but in a shorter evolution time. Applications of the MEGNO to simple discrete and continuous dynamical systems are discussed and an overview of the stability studies presentin the literature encompassing quite different dynamical systems is provided.Fil: Cincotta, Pablo Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; ArgentinaFil: Giordano, Claudia Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; ArgentinaSpringer Verlag BerlínSkokos, Charalampos HarisGottwald, Georg A.Laskar, Jacques2016info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookParthttp://purl.org/coar/resource_type/c_3248info:ar-repo/semantics/parteDeLibroapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/143164Cincotta, Pablo Miguel; Giordano, Claudia Marcela; Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method; Springer Verlag Berlín; 2016; 93-128978-3-662-48408-1CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/chapter/10.1007/978-3-662-48410-4_4info:eu-repo/semantics/altIdentifier/doi/10.1007/978-3-662-48410-4_4info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:00:11Zoai:ri.conicet.gov.ar:11336/143164instacron: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 13:00:11.588CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method
title Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method
spellingShingle Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method
Cincotta, Pablo Miguel
DYNAMICAL SYSTEMS
CHAOS
title_short Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method
title_full Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method
title_fullStr Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method
title_full_unstemmed Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method
title_sort Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method
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.contributor.none.fl_str_mv Skokos, Charalampos Haris
Gottwald, Georg A.
Laskar, Jacques
dc.subject.none.fl_str_mv DYNAMICAL SYSTEMS
CHAOS
topic DYNAMICAL SYSTEMS
CHAOS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Springer-Verlag Berlin Heidelberg(Review por invitación)In this chapter we discuss in a pedagogical way and from the verybeginning the "Mean Exponential Growth factor of Nearby Orbits method" (MEGNO), that has proven, in the last ten years, to be efficient to investigate both regular and chaotic components of phase space of a Hamiltonian system. It is a fast indicator that provides a clear picture of the resonance structure, the location of stable and unstable periodic orbits as well as a measure of hyperbolicity in chaotic domains which coincides with that given by the maximum Lyapunov characteristic exponent but in a shorter evolution time. Applications of the MEGNO to simple discrete and continuous dynamical systems are discussed and an overview of the stability studies presentin the literature encompassing quite different dynamical systems is provided.
Fil: Cincotta, Pablo Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina
Fil: Giordano, Claudia Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina
description Springer-Verlag Berlin Heidelberg(Review por invitación)In this chapter we discuss in a pedagogical way and from the verybeginning the "Mean Exponential Growth factor of Nearby Orbits method" (MEGNO), that has proven, in the last ten years, to be efficient to investigate both regular and chaotic components of phase space of a Hamiltonian system. It is a fast indicator that provides a clear picture of the resonance structure, the location of stable and unstable periodic orbits as well as a measure of hyperbolicity in chaotic domains which coincides with that given by the maximum Lyapunov characteristic exponent but in a shorter evolution time. Applications of the MEGNO to simple discrete and continuous dynamical systems are discussed and an overview of the stability studies presentin the literature encompassing quite different dynamical systems is provided.
publishDate 2016
dc.date.none.fl_str_mv 2016
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/bookPart
http://purl.org/coar/resource_type/c_3248
info:ar-repo/semantics/parteDeLibro
status_str publishedVersion
format bookPart
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/143164
Cincotta, Pablo Miguel; Giordano, Claudia Marcela; Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method; Springer Verlag Berlín; 2016; 93-128
978-3-662-48408-1
CONICET Digital
CONICET
url http://hdl.handle.net/11336/143164
identifier_str_mv Cincotta, Pablo Miguel; Giordano, Claudia Marcela; Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method; Springer Verlag Berlín; 2016; 93-128
978-3-662-48408-1
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/chapter/10.1007/978-3-662-48410-4_4
info:eu-repo/semantics/altIdentifier/doi/10.1007/978-3-662-48410-4_4
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 Springer Verlag Berlín
publisher.none.fl_str_mv Springer Verlag Berlín
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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