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

dc.creatorMaffione, Nicolás Pablo
dc.creatorDarriba, Luciano A.
dc.creatorCincotta, Pablo M.
dc.creatorGiordano, Claudia M.
dc.date2011-11
dc.date.accessioned2023-08-30T16:30:07Z
dc.date.available2023-08-30T16:30:07Z
dc.identifierMaffione, 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
dc.identifier0923-2958
dc.identifier1572-9478
dc.identifierhttps://rid.unrn.edu.ar/jspui/handle/20.500.12049/3764
dc.identifierhttps://doi.org/10.1007/s10569-011-9373-z
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8530509
dc.descriptionFil: Maffione, Nicolás P. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.
dc.descriptionFil: Darriba, Luciano A. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.
dc.descriptionFil: Cincotta, Pablo M. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.
dc.descriptionFil: Giordano, Claudia M. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. IALP-UNLP-CONICET; Argentina.
dc.descriptionThe 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.
dc.descriptiontrue
dc.descriptionThe 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.
dc.formatapplication/pdf
dc.languageen
dc.publisherSpringer
dc.relation111
dc.relationCelestial Mechanics and Dynamical Astronomy
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/4.0/
dc.subjectChaos Indicators
dc.subjectMappings
dc.subjectDynamical Systems
dc.subjectMEGNO
dc.subjectSALI
dc.subjectFLI
dc.subjectRLI
dc.subjectSticky Chaotic Orbits
dc.titleA comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings


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