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

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Fil: Maffione, Nicolás P. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.

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Autores principales: Maffione, Nicolás Pablo, Darriba, Luciano A., Cincotta, Pablo M., Giordano, Claudia M.
Lenguaje:Inglés
Publicado: Springer 2011
Materias:
Chaos Indicators
Mappings
Dynamical Systems
MEGNO
SALI
FLI
RLI
Sticky Chaotic Orbits
Acceso en línea:https://rid.unrn.edu.ar/jspui/handle/20.500.12049/3764
https://doi.org/10.1007/s10569-011-9373-z
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Repositorio Institucional Digital de la Universidad Nacional de Río Negro (UNRN) de Universidad Nacional de Río Negro
id I65-R171-20.500.12049-3764
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spelling I65-R171-20.500.12049-37642023-05-18T17:09:55Z application/pdf info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/4.0/ 2011-11 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. A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings Maffione, Nicolás Pablo Darriba, Luciano A. Cincotta, Pablo M. Giordano, Claudia M. Chaos Indicators Mappings Dynamical Systems MEGNO SALI FLI RLI Sticky Chaotic Orbits 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. true 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. 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 en 111 Celestial Mechanics and Dynamical Astronomy 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 Chaos Indicators
Mappings
Dynamical Systems
MEGNO
SALI
FLI
RLI
Sticky Chaotic Orbits
spellingShingle Chaos Indicators
Mappings
Dynamical Systems
MEGNO
SALI
FLI
RLI
Sticky Chaotic Orbits
Maffione, Nicolás Pablo
Darriba, Luciano A.
Cincotta, Pablo M.
Giordano, Claudia M.
A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings
topic_facet Chaos Indicators
Mappings
Dynamical Systems
MEGNO
SALI
FLI
RLI
Sticky Chaotic Orbits
description Fil: Maffione, Nicolás P. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.
author Maffione, Nicolás Pablo
Darriba, Luciano A.
Cincotta, Pablo M.
Giordano, Claudia M.
author_facet Maffione, Nicolás Pablo
Darriba, Luciano A.
Cincotta, Pablo M.
Giordano, Claudia M.
author_sort Maffione, Nicolás Pablo
title A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings
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 comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings
publisher Springer
publishDate 2011
url https://rid.unrn.edu.ar/jspui/handle/20.500.12049/3764
https://doi.org/10.1007/s10569-011-9373-z
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