Analytical relation between two chaos indicators: FLI and MEGNO

Autores
Mestre, Martín Federico; Cincotta, Pablo Miguel; Giordano, Claudia Marcela
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We report an intrinsic relation between the mean exponential growth factor of nearby orbits (MEGNO) and the fast Lyapunov indicator (FLI), two variational methods that have been widely applied to stability issues in astronomy. For both continuous-time and discrete-time systems, we arrive at an analytic formula that expresses the MEGNO in terms of the FLI and its time-average. This connection, unknown for more than 10 years, allows us to understand the differences and similarities in the performance of both indicators.
Facultad de Ciencias Astronómicas y Geofísicas
Instituto de Astrofísica de La Plata
Materia
Ciencias Astronómicas
Chaos
Instabilities
Methods: analytical
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:10915/83957
Acceder
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network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Analytical relation between two chaos indicators: FLI and MEGNOMestre, Martín FedericoCincotta, Pablo MiguelGiordano, Claudia MarcelaCiencias AstronómicasChaosInstabilitiesMethods: analyticalWe report an intrinsic relation between the mean exponential growth factor of nearby orbits (MEGNO) and the fast Lyapunov indicator (FLI), two variational methods that have been widely applied to stability issues in astronomy. For both continuous-time and discrete-time systems, we arrive at an analytic formula that expresses the MEGNO in terms of the FLI and its time-average. This connection, unknown for more than 10 years, allows us to understand the differences and similarities in the performance of both indicators.Facultad de Ciencias Astronómicas y GeofísicasInstituto de Astrofísica de La Plata2011info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfL100-L103http://sedici.unlp.edu.ar/handle/10915/83957enginfo:eu-repo/semantics/altIdentifier/issn/1745-3933info:eu-repo/semantics/altIdentifier/doi/10.1111/j.1745-3933.2011.01065.xinfo: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:UNLP2025-10-22T16:56:57Zoai:sedici.unlp.edu.ar:10915/83957Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 16:56:58.039SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Analytical relation between two chaos indicators: FLI and MEGNO
title Analytical relation between two chaos indicators: FLI and MEGNO
spellingShingle Analytical relation between two chaos indicators: FLI and MEGNO
Mestre, Martín Federico
Ciencias Astronómicas
Chaos
Instabilities
Methods: analytical
title_short Analytical relation between two chaos indicators: FLI and MEGNO
title_full Analytical relation between two chaos indicators: FLI and MEGNO
title_fullStr Analytical relation between two chaos indicators: FLI and MEGNO
title_full_unstemmed Analytical relation between two chaos indicators: FLI and MEGNO
title_sort Analytical relation between two chaos indicators: FLI and MEGNO
dc.creator.none.fl_str_mv Mestre, Martín Federico
Cincotta, Pablo Miguel
Giordano, Claudia Marcela
author Mestre, Martín Federico
author_facet Mestre, Martín Federico
Cincotta, Pablo Miguel
Giordano, Claudia Marcela
author_role author
author2 Cincotta, Pablo Miguel
Giordano, Claudia Marcela
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Astronómicas
Chaos
Instabilities
Methods: analytical
topic Ciencias Astronómicas
Chaos
Instabilities
Methods: analytical
dc.description.none.fl_txt_mv We report an intrinsic relation between the mean exponential growth factor of nearby orbits (MEGNO) and the fast Lyapunov indicator (FLI), two variational methods that have been widely applied to stability issues in astronomy. For both continuous-time and discrete-time systems, we arrive at an analytic formula that expresses the MEGNO in terms of the FLI and its time-average. This connection, unknown for more than 10 years, allows us to understand the differences and similarities in the performance of both indicators.
Facultad de Ciencias Astronómicas y Geofísicas
Instituto de Astrofísica de La Plata
description We report an intrinsic relation between the mean exponential growth factor of nearby orbits (MEGNO) and the fast Lyapunov indicator (FLI), two variational methods that have been widely applied to stability issues in astronomy. For both continuous-time and discrete-time systems, we arrive at an analytic formula that expresses the MEGNO in terms of the FLI and its time-average. This connection, unknown for more than 10 years, allows us to understand the differences and similarities in the performance of both indicators.
publishDate 2011
dc.date.none.fl_str_mv 2011
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/83957
url http://sedici.unlp.edu.ar/handle/10915/83957
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1745-3933
info:eu-repo/semantics/altIdentifier/doi/10.1111/j.1745-3933.2011.01065.x
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
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
L100-L103
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
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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score 12.982451

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