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Por favor, use este identificador para citar o enlazar este ítem: https://rid.unrn.edu.ar/jspui/handle/20.500.12049/3764

Título: A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings
Autor: Maffione, Nicolás P.
Darriba, Luciano A.
Cincotta, Pablo M.
Giordano, Claudia M.
Fecha de publicación: nov-2011
Editorial: Springer
Citación: 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
Revista: Celestial Mechanics and Dynamical Astronomy
Abstract: 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.
Resumen: 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.
Identificador DOI: https://doi.org/10.1007/s10569-011-9373-z
URI: https://rid.unrn.edu.ar/jspui/handle/20.500.12049/3764
ISSN: 0923-2958
1572-9478
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Este documento es resultado del financiamiento otorgado por el Estado Nacional, por lo tanto queda sujeto al cumplimiento de la Ley N° 26.899