A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings

Autores
Maffione, Nicolás Pablo; Darriba, Luciano A.; Cincotta, Pablo M.; Giordano, Claudia M.
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión aceptada
Descripción
Fil: Maffione, Nicolás P. 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: Cincotta, Pablo M. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.
Fil: Giordano, Claudia M. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.
The aim of this research work is to compare the reliability of several variational indicators of chaos in mappings. The Lyapunov Indicator; the Mean Exponential Growth factor of Nearby Orbits (MEGNO); the Smaller Alignment Index (SALI); the Fast Lyapunov Indicator (FLI); the Dynamical Spectra of stretching numbers and the corresponding Spectral Distance and the Relative Lyapunov Indicator (RLI), which is based on the evolution of the difference between two close orbits, have been included. The experiments presented herein allow us to reliably suggest a group of chaos indicators to analyze a general mapping. We show that a package composed of the FLI and the RLI (to analyze the phase portrait globally) and the MEGNO and the SALI (to analyze orbits individually) is good enough to make a description of the systems’ dynamics.
The aim of this research work is to compare the reliability of several variational indicators of chaos in mappings. The Lyapunov Indicator; the Mean Exponential Growth factor of Nearby Orbits (MEGNO); the Smaller Alignment Index (SALI); the Fast Lyapunov Indicator (FLI); the Dynamical Spectra of stretching numbers and the corresponding Spectral Distance and the Relative Lyapunov Indicator (RLI), which is based on the evolution of the difference between two close orbits, have been included. The experiments presented herein allow us to reliably suggest a group of chaos indicators to analyze a general mapping. We show that a package composed of the FLI and the RLI (to analyze the phase portrait globally) and the MEGNO and the SALI (to analyze orbits individually) is good enough to make a description of the systems’ dynamics.
Materia
Chaos Indicators
Mappings
Dynamical Systems
MEGNO
SALI
FLI
RLI
Sticky Chaotic Orbits
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:20.500.12049/3764
Acceder
id RIDUNRN_98148c2fb77590786f16a397ce2390d5
oai_identifier_str oai:rid.unrn.edu.ar:20.500.12049/3764
network_acronym_str RIDUNRN
repository_id_str 4369
network_name_str RID-UNRN (UNRN)
spelling A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappingsMaffione, Nicolás PabloDarriba, Luciano A.Cincotta, Pablo M.Giordano, Claudia M.Chaos IndicatorsMappingsDynamical SystemsMEGNOSALIFLIRLISticky Chaotic OrbitsFil: Maffione, Nicolás P. 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: Cincotta, Pablo M. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.Fil: Giordano, Claudia M. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.The aim of this research work is to compare the reliability of several variational indicators of chaos in mappings. The Lyapunov Indicator; the Mean Exponential Growth factor of Nearby Orbits (MEGNO); the Smaller Alignment Index (SALI); the Fast Lyapunov Indicator (FLI); the Dynamical Spectra of stretching numbers and the corresponding Spectral Distance and the Relative Lyapunov Indicator (RLI), which is based on the evolution of the difference between two close orbits, have been included. The experiments presented herein allow us to reliably suggest a group of chaos indicators to analyze a general mapping. We show that a package composed of the FLI and the RLI (to analyze the phase portrait globally) and the MEGNO and the SALI (to analyze orbits individually) is good enough to make a description of the systems’ dynamics.The aim of this research work is to compare the reliability of several variational indicators of chaos in mappings. The Lyapunov Indicator; the Mean Exponential Growth factor of Nearby Orbits (MEGNO); the Smaller Alignment Index (SALI); the Fast Lyapunov Indicator (FLI); the Dynamical Spectra of stretching numbers and the corresponding Spectral Distance and the Relative Lyapunov Indicator (RLI), which is based on the evolution of the difference between two close orbits, have been included. The experiments presented herein allow us to reliably suggest a group of chaos indicators to analyze a general mapping. We show that a package composed of the FLI and the RLI (to analyze the phase portrait globally) and the MEGNO and the SALI (to analyze orbits individually) is good enough to make a description of the systems’ dynamics.Springer2011-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfMaffione, Nicolás P., Darriba, Luciano A., Cincotta, Pablo M. y Giordano, Claudia M. (2011). A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings. Springer; Celestial Mechanics and Dynamical Astronomy; 111; 285-3070923-29581572-9478https://rid.unrn.edu.ar/jspui/handle/20.500.12049/3764https://doi.org/10.1007/s10569-011-9373-zeng111Celestial Mechanics and Dynamical Astronomyinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/4.0/reponame:RID-UNRN (UNRN)instname:Universidad Nacional de Río Negro2025-09-29T14:28:53Zoai:rid.unrn.edu.ar:20.500.12049/3764instacron:UNRNInstitucionalhttps://rid.unrn.edu.ar/jspui/Universidad públicaNo correspondehttps://rid.unrn.edu.ar/oai/snrdrid@unrn.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:43692025-09-29 14:28:53.651RID-UNRN (UNRN) - Universidad Nacional de Río Negrofalse
dc.title.none.fl_str_mv A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings
title A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings
spellingShingle A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings
Maffione, Nicolás Pablo
Chaos Indicators
Mappings
Dynamical Systems
MEGNO
SALI
FLI
RLI
Sticky Chaotic Orbits
title_short A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings
title_full A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings
title_fullStr A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings
title_full_unstemmed A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings
title_sort A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings
dc.creator.none.fl_str_mv Maffione, Nicolás Pablo
Darriba, Luciano A.
Cincotta, Pablo M.
Giordano, Claudia M.
author Maffione, Nicolás Pablo
author_facet Maffione, Nicolás Pablo
Darriba, Luciano A.
Cincotta, Pablo M.
Giordano, Claudia M.
author_role author
author2 Darriba, Luciano A.
Cincotta, Pablo M.
Giordano, Claudia M.
author2_role author
author
author
dc.subject.none.fl_str_mv Chaos Indicators
Mappings
Dynamical Systems
MEGNO
SALI
FLI
RLI
Sticky Chaotic Orbits
topic Chaos Indicators
Mappings
Dynamical Systems
MEGNO
SALI
FLI
RLI
Sticky Chaotic Orbits
dc.description.none.fl_txt_mv Fil: Maffione, Nicolás P. 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: Cincotta, Pablo M. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.
Fil: Giordano, Claudia M. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.
The aim of this research work is to compare the reliability of several variational indicators of chaos in mappings. The Lyapunov Indicator; the Mean Exponential Growth factor of Nearby Orbits (MEGNO); the Smaller Alignment Index (SALI); the Fast Lyapunov Indicator (FLI); the Dynamical Spectra of stretching numbers and the corresponding Spectral Distance and the Relative Lyapunov Indicator (RLI), which is based on the evolution of the difference between two close orbits, have been included. The experiments presented herein allow us to reliably suggest a group of chaos indicators to analyze a general mapping. We show that a package composed of the FLI and the RLI (to analyze the phase portrait globally) and the MEGNO and the SALI (to analyze orbits individually) is good enough to make a description of the systems’ dynamics.
The aim of this research work is to compare the reliability of several variational indicators of chaos in mappings. The Lyapunov Indicator; the Mean Exponential Growth factor of Nearby Orbits (MEGNO); the Smaller Alignment Index (SALI); the Fast Lyapunov Indicator (FLI); the Dynamical Spectra of stretching numbers and the corresponding Spectral Distance and the Relative Lyapunov Indicator (RLI), which is based on the evolution of the difference between two close orbits, have been included. The experiments presented herein allow us to reliably suggest a group of chaos indicators to analyze a general mapping. We show that a package composed of the FLI and the RLI (to analyze the phase portrait globally) and the MEGNO and the SALI (to analyze orbits individually) is good enough to make a description of the systems’ dynamics.
description Fil: Maffione, Nicolás P. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.
publishDate 2011
dc.date.none.fl_str_mv 2011-11
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 Maffione, Nicolás P., Darriba, Luciano A., Cincotta, Pablo M. y Giordano, Claudia M. (2011). A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings. Springer; Celestial Mechanics and Dynamical Astronomy; 111; 285-307
0923-2958
1572-9478
https://rid.unrn.edu.ar/jspui/handle/20.500.12049/3764
https://doi.org/10.1007/s10569-011-9373-z
identifier_str_mv Maffione, Nicolás P., Darriba, Luciano A., Cincotta, Pablo M. y Giordano, Claudia M. (2011). A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings. Springer; Celestial Mechanics and Dynamical Astronomy; 111; 285-307
0923-2958
1572-9478
url https://rid.unrn.edu.ar/jspui/handle/20.500.12049/3764
https://doi.org/10.1007/s10569-011-9373-z
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 111
Celestial Mechanics and Dynamical Astronomy
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 Springer
publisher.none.fl_str_mv Springer
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
_version_ 1844621602451357696
score 12.559606

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