The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy

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Fil: Sandor, Zsolt. Konkoly Observatory of the Hungarian Academy of Sciences; Hungría.

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Detalles Bibliográficos
Autores principales: Sandor, Zsolt, Maffione, Nicolás Pablo
Lenguaje:Inglés
Publicado: Springer 2015
Materias:
Planetary System
Giant Planet
Chaotic Orbit
Regular Orbit
Dark Matter Halo
Acceso en línea:https://rid.unrn.edu.ar/jspui/handle/20.500.12049/3766
https://doi.org/10.1007/978-3-662-48410-4_6
Aporte de:
Repositorio Institucional Digital de la Universidad Nacional de Río Negro (UNRN) de Universidad Nacional de Río Negro
id I65-R171-20.500.12049-3766
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spelling I65-R171-20.500.12049-37662023-05-18T17:12:30Z application/pdf info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/4.0/ 2015-01 Fil: Sandor, Zsolt. Konkoly Observatory of the Hungarian Academy of Sciences; Hungría. Fil: Maffione, Nicolás P. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Grupo de Caos en Sistemas Hamiltonianos; Argentina The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy Sandor, Zsolt Maffione, Nicolás Pablo Planetary System Giant Planet Chaotic Orbit Regular Orbit Dark Matter Halo true 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. Sándor Z., Maffione N. (2016) The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy. In: Skokos C., Gottwald G., Laskar J. (eds) Chaos Detection and Predictability. Lecture Notes in Physics, vol 915. Springer, Berlin, Heidelberg 0075-8450 https://rid.unrn.edu.ar/jspui/handle/20.500.12049/3766 https://doi.org/10.1007/978-3-662-48410-4_6 en 915 Lecture Notes in Physics Springer
institution Universidad Nacional de Río Negro
institution_str I-65
repository_str R-171
collection Repositorio Institucional Digital de la Universidad Nacional de Río Negro (UNRN)
language Inglés
orig_language_str_mv en
topic Planetary System
Giant Planet
Chaotic Orbit
Regular Orbit
Dark Matter Halo
spellingShingle Planetary System
Giant Planet
Chaotic Orbit
Regular Orbit
Dark Matter Halo
Sandor, Zsolt
Maffione, Nicolás Pablo
The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy
topic_facet Planetary System
Giant Planet
Chaotic Orbit
Regular Orbit
Dark Matter Halo
description Fil: Sandor, Zsolt. Konkoly Observatory of the Hungarian Academy of Sciences; Hungría.
author Sandor, Zsolt
Maffione, Nicolás Pablo
author_facet Sandor, Zsolt
Maffione, Nicolás Pablo
author_sort Sandor, 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
publisher Springer
publishDate 2015
url https://rid.unrn.edu.ar/jspui/handle/20.500.12049/3766
https://doi.org/10.1007/978-3-662-48410-4_6
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AT maffionenicolaspablo therelativelyapunovindicatorstheoryandapplicationtodynamicalastronomy
AT sandorzsolt relativelyapunovindicatorstheoryandapplicationtodynamicalastronomy
AT maffionenicolaspablo relativelyapunovindicatorstheoryandapplicationtodynamicalastronomy
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