Analytical relation between two chaos indicators: FLI and MEGNO

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 analy...

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Detalles Bibliográficos
Autores principales: Mestre, Martín Federico, Cincotta, Pablo Miguel, Giordano, Claudia Marcela
Formato: Articulo
Lenguaje:Inglés
Publicado: 2011
Materias:
Ciencias Astronómicas
Chaos
Instabilities
Methods: analytical
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/83957
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-83957
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Astronómicas
Chaos
Instabilities
Methods: analytical
spellingShingle Ciencias Astronómicas
Chaos
Instabilities
Methods: analytical
Mestre, Martín Federico
Cincotta, Pablo Miguel
Giordano, Claudia Marcela
Analytical relation between two chaos indicators: FLI and MEGNO
topic_facet Ciencias Astronómicas
Chaos
Instabilities
Methods: analytical
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.
format Articulo
Articulo
author Mestre, Martín Federico
Cincotta, Pablo Miguel
Giordano, Claudia Marcela
author_facet Mestre, Martín Federico
Cincotta, Pablo Miguel
Giordano, Claudia Marcela
author_sort Mestre, Martín Federico
title Analytical relation between two chaos indicators: FLI and MEGNO
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
publishDate 2011
url http://sedici.unlp.edu.ar/handle/10915/83957
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AT giordanoclaudiamarcela analyticalrelationbetweentwochaosindicatorsfliandmegno
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