On the chaotic diffusion in multidimensional Hamiltonian systems

We present numerical evidence that diffusion in the herein studied multidimensional near-integrable Hamiltonian systems departs from a normal process, at least for realistic timescales. Therefore, the derivation of a diffusion coefficient from a linear fit on the variance evolution of the unperturbe...

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Autores principales: Cincotta, Pablo Miguel, Giordano, Claudia Marcela, Martí, Javier Guillermo, Beaugé, Cristian
Formato: Articulo
Lenguaje:Inglés
Publicado: 2018
Materias:
Astronomía
Chaotic diffusion
Hamiltonian systems
Planetary dynamics
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/140914
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-140914
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Astronomía
Chaotic diffusion
Hamiltonian systems
Planetary dynamics
spellingShingle Astronomía
Chaotic diffusion
Hamiltonian systems
Planetary dynamics
Cincotta, Pablo Miguel
Giordano, Claudia Marcela
Martí, Javier Guillermo
Beaugé, Cristian
On the chaotic diffusion in multidimensional Hamiltonian systems
topic_facet Astronomía
Chaotic diffusion
Hamiltonian systems
Planetary dynamics
description We present numerical evidence that diffusion in the herein studied multidimensional near-integrable Hamiltonian systems departs from a normal process, at least for realistic timescales. Therefore, the derivation of a diffusion coefficient from a linear fit on the variance evolution of the unperturbed integrals fails. We review some topics on diffusion in the Arnold Hamiltonian and yield numerical and theoretical arguments to show that in the examples we considered, a standard coefficient would not provide a good estimation of the speed of diffusion. However, numerical experiments concerning diffusion would provide reliable information about the stability of the motion within chaotic regions of the phase space. In this direction, we present an extension of previous results concerning the dynamical structure of the Laplace resonance in Gliese-876 planetary system considering variations of the orbital parameters accordingly to the error introduced by the radial velocity determination. We found that a slight variation of the eccentricity of planet c would destabilize the inner region of the resonance that, though chaotic, shows stable when adopting the best fit values for the parameters.
format Articulo
Articulo
author Cincotta, Pablo Miguel
Giordano, Claudia Marcela
Martí, Javier Guillermo
Beaugé, Cristian
author_facet Cincotta, Pablo Miguel
Giordano, Claudia Marcela
Martí, Javier Guillermo
Beaugé, Cristian
author_sort Cincotta, Pablo Miguel
title On the chaotic diffusion in multidimensional Hamiltonian systems
title_short On the chaotic diffusion in multidimensional Hamiltonian systems
title_full On the chaotic diffusion in multidimensional Hamiltonian systems
title_fullStr On the chaotic diffusion in multidimensional Hamiltonian systems
title_full_unstemmed On the chaotic diffusion in multidimensional Hamiltonian systems
title_sort on the chaotic diffusion in multidimensional hamiltonian systems
publishDate 2018
url http://sedici.unlp.edu.ar/handle/10915/140914
work_keys_str_mv AT cincottapablomiguel onthechaoticdiffusioninmultidimensionalhamiltoniansystems
AT giordanoclaudiamarcela onthechaoticdiffusioninmultidimensionalhamiltoniansystems
AT martijavierguillermo onthechaoticdiffusioninmultidimensionalhamiltoniansystems
AT beaugecristian onthechaoticdiffusioninmultidimensionalhamiltoniansystems
bdutipo_str Repositorios
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