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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/83957
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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:UNLP2025-09-29T11:16:06Zoai: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:13292025-09-29 11:16:06.578SEDICI (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 |
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reponame:SEDICI (UNLP) instname:Universidad Nacional de La Plata instacron:UNLP |
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SEDICI (UNLP) - Universidad Nacional de La Plata |
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