Chaos detection tools: the LP-VIcode and its applications

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A very important topic in galactic dynamics is the detection of instabilities of a given system and the possible appearance of chaos. Such a chaotic bahaviour can be detected and studied by means of variational chaos indicators (Cis). The Cis are based on the study of the evolution of initial deviat...

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Autores principales: Darriba, Luciano Ariel, Maffione, Nicolás Pablo, Cincotta, Pablo Miguel, Giordano, Claudia Marcela
Formato: Objeto de conferencia
Lenguaje:Inglés
Publicado: 2011
Materias:
Ciencias Astronómicas
galactic dynamics
instabilities
variational chaos indicators
Hamiltonian model
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/167637
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-167637
record_format dspace
spelling I19-R120-10915-1676372024-07-01T20:02:52Z http://sedici.unlp.edu.ar/handle/10915/167637 Chaos detection tools: the LP-VIcode and its applications Darriba, Luciano Ariel Maffione, Nicolás Pablo Cincotta, Pablo Miguel Giordano, Claudia Marcela 2011-07 2012 2024-07-01T16:33:05Z en Ciencias Astronómicas galactic dynamics instabilities variational chaos indicators Hamiltonian model A very important topic in galactic dynamics is the detection of instabilities of a given system and the possible appearance of chaos. Such a chaotic bahaviour can be detected and studied by means of variational chaos indicators (Cis). The Cis are based on the study of the evolution of initial deviation vectors, which makes these techniques specially sensitive to indicate the presence of chaos. Notwithstanding their special sensitiveness to identify chaos, the Cis are still good alternatives to determine also the resonance web. On the other hand, the so-called spectral analysis methods are based on the study of some quantity (e.g. the frequency) on a single orbit, which turns these techniques very efficient for the determination of the resonant structure of the system. The analysis of the interaction among chaotic and regular components as well as the determination of the resonant structure of the Hamiltonian leads to a deeper understanding of the system’s dynamics. Despite the advantages of the simultaneous application of both types of techniques, many researchers keep applying only one of them. Herein, we present an alpha version of a program coded in Fortran, the LP-VIcode. Although the code is in a developing stage, it can compute several Cis, and here we apply it together with the Frequency Modified Fourier Transform (FMFT) (Sidlichovsky & Nesvorny 1996) to study the stationary space (Schwarzchild 1993) of an average realistic Hamiltonian model (Muzzio et al. 2005). Using the LP-VIcode, in Maffione et al. (2011b) and Darriba et al. (submitted) the authors suggest an efficient package of Cis to study a general Hamiltonian. Here the research is extended to show that the complementary use of the LP-VIcode and the spectral analysis methods is highly recommended to study a realistic Hamiltonian model. Facultad de Ciencias Astronómicas y Geofísicas Instituto de Astrofísica de La Plata Objeto de conferencia Objeto de conferencia http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) application/pdf 345-366
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Astronómicas
galactic dynamics
instabilities
variational chaos indicators
Hamiltonian model
spellingShingle Ciencias Astronómicas
galactic dynamics
instabilities
variational chaos indicators
Hamiltonian model
Darriba, Luciano Ariel
Maffione, Nicolás Pablo
Cincotta, Pablo Miguel
Giordano, Claudia Marcela
Chaos detection tools: the LP-VIcode and its applications
topic_facet Ciencias Astronómicas
galactic dynamics
instabilities
variational chaos indicators
Hamiltonian model
description A very important topic in galactic dynamics is the detection of instabilities of a given system and the possible appearance of chaos. Such a chaotic bahaviour can be detected and studied by means of variational chaos indicators (Cis). The Cis are based on the study of the evolution of initial deviation vectors, which makes these techniques specially sensitive to indicate the presence of chaos. Notwithstanding their special sensitiveness to identify chaos, the Cis are still good alternatives to determine also the resonance web. On the other hand, the so-called spectral analysis methods are based on the study of some quantity (e.g. the frequency) on a single orbit, which turns these techniques very efficient for the determination of the resonant structure of the system. The analysis of the interaction among chaotic and regular components as well as the determination of the resonant structure of the Hamiltonian leads to a deeper understanding of the system’s dynamics. Despite the advantages of the simultaneous application of both types of techniques, many researchers keep applying only one of them. Herein, we present an alpha version of a program coded in Fortran, the LP-VIcode. Although the code is in a developing stage, it can compute several Cis, and here we apply it together with the Frequency Modified Fourier Transform (FMFT) (Sidlichovsky & Nesvorny 1996) to study the stationary space (Schwarzchild 1993) of an average realistic Hamiltonian model (Muzzio et al. 2005). Using the LP-VIcode, in Maffione et al. (2011b) and Darriba et al. (submitted) the authors suggest an efficient package of Cis to study a general Hamiltonian. Here the research is extended to show that the complementary use of the LP-VIcode and the spectral analysis methods is highly recommended to study a realistic Hamiltonian model.
format Objeto de conferencia
Objeto de conferencia
author Darriba, Luciano Ariel
Maffione, Nicolás Pablo
Cincotta, Pablo Miguel
Giordano, Claudia Marcela
author_facet Darriba, Luciano Ariel
Maffione, Nicolás Pablo
Cincotta, Pablo Miguel
Giordano, Claudia Marcela
author_sort Darriba, Luciano Ariel
title Chaos detection tools: the LP-VIcode and its applications
title_short Chaos detection tools: the LP-VIcode and its applications
title_full Chaos detection tools: the LP-VIcode and its applications
title_fullStr Chaos detection tools: the LP-VIcode and its applications
title_full_unstemmed Chaos detection tools: the LP-VIcode and its applications
title_sort chaos detection tools: the lp-vicode and its applications
publishDate 2011
url http://sedici.unlp.edu.ar/handle/10915/167637
work_keys_str_mv AT darribalucianoariel chaosdetectiontoolsthelpvicodeanditsapplications
AT maffionenicolaspablo chaosdetectiontoolsthelpvicodeanditsapplications
AT cincottapablomiguel chaosdetectiontoolsthelpvicodeanditsapplications
AT giordanoclaudiamarcela chaosdetectiontoolsthelpvicodeanditsapplications
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