Shannon entropy diffusion estimates: sensitivity on the parameters of the method

In the present effort, we revisit the Shannon entropy approach for the study of both the extent and the rate of diffusion in a given dynamical system. In particular, we provide a theoretical and numerical study of the dependence of the formulation on the parameters of the method. We succeed in deriv...

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Autores principales: Cincotta, Pablo Miguel, Giordano, Claudia Marcela, Alves Silva, Raphael, Beaugé, Cristián
Formato: Articulo
Lenguaje:Inglés
Publicado: 2021
Materias:
Astronomía
Chaotic diffusion
Resonances
Shannon entropy
Three-body problem
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/145267
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-145267
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
Resonances
Shannon entropy
Three-body problem
spellingShingle Astronomía
Chaotic diffusion
Resonances
Shannon entropy
Three-body problem
Cincotta, Pablo Miguel
Giordano, Claudia Marcela
Alves Silva, Raphael
Beaugé, Cristián
Shannon entropy diffusion estimates: sensitivity on the parameters of the method
topic_facet Astronomía
Chaotic diffusion
Resonances
Shannon entropy
Three-body problem
description In the present effort, we revisit the Shannon entropy approach for the study of both the extent and the rate of diffusion in a given dynamical system. In particular, we provide a theoretical and numerical study of the dependence of the formulation on the parameters of the method. We succeed in deriving not only a diffusion coefficient, D<sub>S</sub>, but also an estimate of the macroscopical instability time for the system under study. Dealing with a toy model, namely a 4D symplectic application that represents the dynamics around a junction of resonances of different order, and an a particular case of the planar three-body problem, the HD20003 planetary system, we obtain numerical evidence that D<sub>S</sub> is a robust measure of the diffusion rate, no significant dependence on the free parameter of the entropy formulation (the size of the elements of the partition) being observed. Moreover, successful results concerning the estimation of macroscopical instability times obtained from D<sub>S</sub> are presented in both cases.
format Articulo
Articulo
author Cincotta, Pablo Miguel
Giordano, Claudia Marcela
Alves Silva, Raphael
Beaugé, Cristián
author_facet Cincotta, Pablo Miguel
Giordano, Claudia Marcela
Alves Silva, Raphael
Beaugé, Cristián
author_sort Cincotta, Pablo Miguel
title Shannon entropy diffusion estimates: sensitivity on the parameters of the method
title_short Shannon entropy diffusion estimates: sensitivity on the parameters of the method
title_full Shannon entropy diffusion estimates: sensitivity on the parameters of the method
title_fullStr Shannon entropy diffusion estimates: sensitivity on the parameters of the method
title_full_unstemmed Shannon entropy diffusion estimates: sensitivity on the parameters of the method
title_sort shannon entropy diffusion estimates: sensitivity on the parameters of the method
publishDate 2021
url http://sedici.unlp.edu.ar/handle/10915/145267
work_keys_str_mv AT cincottapablomiguel shannonentropydiffusionestimatessensitivityontheparametersofthemethod
AT giordanoclaudiamarcela shannonentropydiffusionestimatessensitivityontheparametersofthemethod
AT alvessilvaraphael shannonentropydiffusionestimatessensitivityontheparametersofthemethod
AT beaugecristian shannonentropydiffusionestimatessensitivityontheparametersofthemethod
bdutipo_str Repositorios
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