LP-VIcode: A program to compute a suite of variational chaos indicators

Autores
Carpintero, Daniel D.; Maffione, Nicolás Pablo; Darriba, Luciano A.
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión aceptada
Descripción
Fil: Carpintero, Danie D. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.
Fil: Darriba, Luciano A. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.
Fil: Maffione, Nicolás P. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.
An important point in analyzing the dynamics of a given stellar or planetary system is the reliable identification of the chaotic or regular behavior of its orbits. We introduce here the program LP-VIcode, a fully operational code which efficiently computes a suite of ten variational chaos indicators for dynamical systems in any number of dimensions. The user may choose to simultaneously compute any number of chaos indicators among the following: the Lyapunov Exponents, the Mean Exponential Growth factor of Nearby Orbits, the Slope Estimation of the largest Lyapunov Characteristic Exponent, the Smaller ALignment Index, the Generalized ALignment Index, the Fast Lyapunov Indicator, the Orthogonal Fast Lyapunov Indicator, the dynamical Spectra of Stretching Numbers, the Spectral Distance, and the Relative Lyapunov Indicator. They are combined in an efficient way, allowing the sharing of differential equations whenever this is possible, and the individual stopping of their computation when any of them saturates.
Materia
Stellar Systems
Planetary Systems
Chaos
Numerical Algorithms
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
RID-UNRN (UNRN)
Institución
Universidad Nacional de Río Negro
OAI Identificador
oai:rid.unrn.edu.ar:20.500.12049/3765

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oai_identifier_str oai:rid.unrn.edu.ar:20.500.12049/3765
network_acronym_str RIDUNRN
repository_id_str 4369
network_name_str RID-UNRN (UNRN)
spelling LP-VIcode: A program to compute a suite of variational chaos indicatorsCarpintero, Daniel D.Maffione, Nicolás PabloDarriba, Luciano A.Stellar SystemsPlanetary SystemsChaosNumerical AlgorithmsFil: Carpintero, Danie D. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.Fil: Darriba, Luciano A. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.Fil: Maffione, Nicolás P. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.An important point in analyzing the dynamics of a given stellar or planetary system is the reliable identification of the chaotic or regular behavior of its orbits. We introduce here the program LP-VIcode, a fully operational code which efficiently computes a suite of ten variational chaos indicators for dynamical systems in any number of dimensions. The user may choose to simultaneously compute any number of chaos indicators among the following: the Lyapunov Exponents, the Mean Exponential Growth factor of Nearby Orbits, the Slope Estimation of the largest Lyapunov Characteristic Exponent, the Smaller ALignment Index, the Generalized ALignment Index, the Fast Lyapunov Indicator, the Orthogonal Fast Lyapunov Indicator, the dynamical Spectra of Stretching Numbers, the Spectral Distance, and the Relative Lyapunov Indicator. They are combined in an efficient way, allowing the sharing of differential equations whenever this is possible, and the individual stopping of their computation when any of them saturates.Elsevier2014-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfCarpintero, Daniel D., Maffione, Nicolás P. y Darriba, Luciano A. (2014). LP-VIcode: A program to compute a suite of variational chaos indicators. Elsevier; Astronomy and Computing; 5; 19-272213-1337https://www.sciencedirect.com/science/article/pii/S2213133714000110?via%3Dihubhttps://rid.unrn.edu.ar/jspui/handle/20.500.12049/3765https://doi.org/10.1016/j.ascom.2014.04.001eng5Astronomy and Computinginfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/4.0/reponame:RID-UNRN (UNRN)instname:Universidad Nacional de Río Negro2025-10-16T10:05:48Zoai:rid.unrn.edu.ar:20.500.12049/3765instacron:UNRNInstitucionalhttps://rid.unrn.edu.ar/jspui/Universidad públicaNo correspondehttps://rid.unrn.edu.ar/oai/snrdrid@unrn.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:43692025-10-16 10:05:48.335RID-UNRN (UNRN) - Universidad Nacional de Río Negrofalse
dc.title.none.fl_str_mv LP-VIcode: A program to compute a suite of variational chaos indicators
title LP-VIcode: A program to compute a suite of variational chaos indicators
spellingShingle LP-VIcode: A program to compute a suite of variational chaos indicators
Carpintero, Daniel D.
Stellar Systems
Planetary Systems
Chaos
Numerical Algorithms
title_short LP-VIcode: A program to compute a suite of variational chaos indicators
title_full LP-VIcode: A program to compute a suite of variational chaos indicators
title_fullStr LP-VIcode: A program to compute a suite of variational chaos indicators
title_full_unstemmed LP-VIcode: A program to compute a suite of variational chaos indicators
title_sort LP-VIcode: A program to compute a suite of variational chaos indicators
dc.creator.none.fl_str_mv Carpintero, Daniel D.
Maffione, Nicolás Pablo
Darriba, Luciano A.
author Carpintero, Daniel D.
author_facet Carpintero, Daniel D.
Maffione, Nicolás Pablo
Darriba, Luciano A.
author_role author
author2 Maffione, Nicolás Pablo
Darriba, Luciano A.
author2_role author
author
dc.subject.none.fl_str_mv Stellar Systems
Planetary Systems
Chaos
Numerical Algorithms
topic Stellar Systems
Planetary Systems
Chaos
Numerical Algorithms
dc.description.none.fl_txt_mv Fil: Carpintero, Danie D. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.
Fil: Darriba, Luciano A. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.
Fil: Maffione, Nicolás P. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.
An important point in analyzing the dynamics of a given stellar or planetary system is the reliable identification of the chaotic or regular behavior of its orbits. We introduce here the program LP-VIcode, a fully operational code which efficiently computes a suite of ten variational chaos indicators for dynamical systems in any number of dimensions. The user may choose to simultaneously compute any number of chaos indicators among the following: the Lyapunov Exponents, the Mean Exponential Growth factor of Nearby Orbits, the Slope Estimation of the largest Lyapunov Characteristic Exponent, the Smaller ALignment Index, the Generalized ALignment Index, the Fast Lyapunov Indicator, the Orthogonal Fast Lyapunov Indicator, the dynamical Spectra of Stretching Numbers, the Spectral Distance, and the Relative Lyapunov Indicator. They are combined in an efficient way, allowing the sharing of differential equations whenever this is possible, and the individual stopping of their computation when any of them saturates.
description Fil: Carpintero, Danie D. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.
publishDate 2014
dc.date.none.fl_str_mv 2014-07
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv Carpintero, Daniel D., Maffione, Nicolás P. y Darriba, Luciano A. (2014). LP-VIcode: A program to compute a suite of variational chaos indicators. Elsevier; Astronomy and Computing; 5; 19-27
2213-1337
https://www.sciencedirect.com/science/article/pii/S2213133714000110?via%3Dihub
https://rid.unrn.edu.ar/jspui/handle/20.500.12049/3765
https://doi.org/10.1016/j.ascom.2014.04.001
identifier_str_mv Carpintero, Daniel D., Maffione, Nicolás P. y Darriba, Luciano A. (2014). LP-VIcode: A program to compute a suite of variational chaos indicators. Elsevier; Astronomy and Computing; 5; 19-27
2213-1337
url https://www.sciencedirect.com/science/article/pii/S2213133714000110?via%3Dihub
https://rid.unrn.edu.ar/jspui/handle/20.500.12049/3765
https://doi.org/10.1016/j.ascom.2014.04.001
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 5
Astronomy and Computing
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0/
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:RID-UNRN (UNRN)
instname:Universidad Nacional de Río Negro
reponame_str RID-UNRN (UNRN)
collection RID-UNRN (UNRN)
instname_str Universidad Nacional de Río Negro
repository.name.fl_str_mv RID-UNRN (UNRN) - Universidad Nacional de Río Negro
repository.mail.fl_str_mv rid@unrn.edu.ar
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