The relative Lyapunov indicators : Theory and application to dynamical astronomy

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A recently introduced chaos detection method, the Relative Lyapunov Indicator (RLI) is investigated in the cases of symplectic mappings and continuous Hamiltonian systems. It is shown that the RLI is an efficient numerical tool in determining the true nature of individual orbits, and in separating o...

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Detalles Bibliográficos
Autores principales: Sándor, Zsolt, Maffione, Nicolás Pablo
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2016
Materias:
Astronomía
Física
Ciencias Naturales
Ciencias Exactas
RLI
Planetary System
Giant Planet
Chaotic Orbit
Regular Orbit
Dark Matter Halo
Relative Lyapunov Indicator
Hamiltonian systems
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/93838
https://link.springer.com/chapter/10.1007%2F978-3-662-48410-4_6
https://arxiv.org/abs/1501.07264
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-93838
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Astronomía
Física
Ciencias Naturales
Ciencias Exactas
RLI
Planetary System
Giant Planet
Chaotic Orbit
Regular Orbit
Dark Matter Halo
Relative Lyapunov Indicator
Hamiltonian systems
spellingShingle Astronomía
Física
Ciencias Naturales
Ciencias Exactas
RLI
Planetary System
Giant Planet
Chaotic Orbit
Regular Orbit
Dark Matter Halo
Relative Lyapunov Indicator
Hamiltonian systems
Sándor, Zsolt
Maffione, Nicolás Pablo
The relative Lyapunov indicators : Theory and application to dynamical astronomy
topic_facet Astronomía
Física
Ciencias Naturales
Ciencias Exactas
RLI
Planetary System
Giant Planet
Chaotic Orbit
Regular Orbit
Dark Matter Halo
Relative Lyapunov Indicator
Hamiltonian systems
description A recently introduced chaos detection method, the Relative Lyapunov Indicator (RLI) is investigated in the cases of symplectic mappings and continuous Hamiltonian systems. It is shown that the RLI is an efficient numerical tool in determining the true nature of individual orbits, and in separating ordered and chaotic regions of the phase space of dynamical systems. A comparison between the RLI and some other variational indicators are presented, as well as the recent applications of the RLI to various problems of dynamical astronomy.
format Articulo
Preprint
author Sándor, Zsolt
Maffione, Nicolás Pablo
author_facet Sándor, Zsolt
Maffione, Nicolás Pablo
author_sort Sándor, Zsolt
title The relative Lyapunov indicators : Theory and application to dynamical astronomy
title_short The relative Lyapunov indicators : Theory and application to dynamical astronomy
title_full The relative Lyapunov indicators : Theory and application to dynamical astronomy
title_fullStr The relative Lyapunov indicators : Theory and application to dynamical astronomy
title_full_unstemmed The relative Lyapunov indicators : Theory and application to dynamical astronomy
title_sort relative lyapunov indicators : theory and application to dynamical astronomy
publishDate 2016
url http://sedici.unlp.edu.ar/handle/10915/93838
https://link.springer.com/chapter/10.1007%2F978-3-662-48410-4_6
https://arxiv.org/abs/1501.07264
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