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

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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 str...

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Autores principales: Maffione, Nicolás Pablo, Darriba, Luciano Ariel, Cincotta, Pablo Miguel, Giordano, Claudia Marcela
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2011
Materias:
Astronomía
Física
Chaos indicators
Mappings
Dynamical systems
Chaos
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/127126
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-127126
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
Chaos indicators
Mappings
Dynamical systems
Chaos
spellingShingle Astronomía
Física
Chaos indicators
Mappings
Dynamical systems
Chaos
Maffione, Nicolás Pablo
Darriba, Luciano Ariel
Cincotta, Pablo Miguel
Giordano, Claudia Marcela
A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings
topic_facet Astronomía
Física
Chaos indicators
Mappings
Dynamical systems
Chaos
description 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.
format Articulo
Preprint
author Maffione, Nicolás Pablo
Darriba, Luciano Ariel
Cincotta, Pablo Miguel
Giordano, Claudia Marcela
author_facet Maffione, Nicolás Pablo
Darriba, Luciano Ariel
Cincotta, Pablo Miguel
Giordano, Claudia Marcela
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
publishDate 2011
url http://sedici.unlp.edu.ar/handle/10915/127126
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