Phase correlations in chaotic dynamics: a Shannon entropy measure

In the present work, we investigate phase correlations by recourse to the Shannon entropy. Using theoretical arguments, we show that the entropy provides an accurate measure of phase correlations in any dynamical system, in particular when dealing with a chaotic diffusion process. We apply this appr...

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Detalles Bibliográficos
Autores principales: Cincotta, Pablo Miguel, Giordano, Claudia Marcela
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2018
Materias:
Astronomía
Física
Ciencias Naturales
Ciencias Exactas
Shannon Entropy
Diffusion
Phase correlations
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/93607
https://link.springer.com/article/10.1007%2Fs10569-018-9871-3
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-93607
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Astronomía
Física
Ciencias Naturales
Ciencias Exactas
Shannon Entropy
Diffusion
Phase correlations
spellingShingle Astronomía
Física
Ciencias Naturales
Ciencias Exactas
Shannon Entropy
Diffusion
Phase correlations
Cincotta, Pablo Miguel
Giordano, Claudia Marcela
Phase correlations in chaotic dynamics: a Shannon entropy measure
topic_facet Astronomía
Física
Ciencias Naturales
Ciencias Exactas
Shannon Entropy
Diffusion
Phase correlations
description In the present work, we investigate phase correlations by recourse to the Shannon entropy. Using theoretical arguments, we show that the entropy provides an accurate measure of phase correlations in any dynamical system, in particular when dealing with a chaotic diffusion process. We apply this approach to different low-dimensional maps in order to show that indeed the entropy is very sensitive to the presence of correlations among the successive values of angular variables, even when it is weak. Later on, we apply this approach to unveil strong correlations in the time evolution of the phases involved in the Arnold’s Hamiltonian that lead to anomalous diffusion, particularly when the perturbation parameters are comparatively large. The obtained results allow us to discuss the validity of several approximations and assumptions usually introduced to derive a local diffusion coefficient in multidimensional near-integrable Hamiltonian systems, in particular the so-called reduced stochasticity approximation.
format Articulo
Preprint
author Cincotta, Pablo Miguel
Giordano, Claudia Marcela
author_facet Cincotta, Pablo Miguel
Giordano, Claudia Marcela
author_sort Cincotta, Pablo Miguel
title Phase correlations in chaotic dynamics: a Shannon entropy measure
title_short Phase correlations in chaotic dynamics: a Shannon entropy measure
title_full Phase correlations in chaotic dynamics: a Shannon entropy measure
title_fullStr Phase correlations in chaotic dynamics: a Shannon entropy measure
title_full_unstemmed Phase correlations in chaotic dynamics: a Shannon entropy measure
title_sort phase correlations in chaotic dynamics: a shannon entropy measure
publishDate 2018
url http://sedici.unlp.edu.ar/handle/10915/93607
https://link.springer.com/article/10.1007%2Fs10569-018-9871-3
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AT giordanoclaudiamarcela phasecorrelationsinchaoticdynamicsashannonentropymeasure
bdutipo_str Repositorios
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