The Shannon entropy: An efficient indicator of dynamical stability
- Autores
- Cincotta, Pablo Miguel; Giordano, Claudia Marcela; Ablin, Silvana; Abdala, Cristian Simón
- Año de publicación
- 2020
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- In this work it is shown that the Shannon entropy is an efficient dynamical indicator that provides adirect measure of the diffusion rate and thus a time-scale for the instabilities arising when dealing withchaos. Its computation just involves the solution of the Hamiltonian flow, the variational equationsare not required. After a review of the theory behind this approach, two particular applications arepresented; a 4D symplectic map and the exoplanetary system HD 181433, approximated by the PlanarThree Body Problem. Successful results are obtained for instability time-scales when compared withdirect long range integrations (N-body or just iterations). Comparative dynamical maps reveal that thisnovel technique provides much more dynamical information than a classical chaos indicator.
Fil: Cincotta, Pablo Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina
Fil: Giordano, Claudia Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina
Fil: Ablin, Silvana. Universidade do Sao Paulo. Instituto de Astronomia, Geofísica e Ciências Atmosféricas; Brasil
Fil: Abdala, Cristian Simón. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Astronomía Teórica y Experimental. Universidad Nacional de Córdoba. Observatorio Astronómico de Córdoba. Instituto de Astronomía Teórica y Experimental; Argentina - Materia
-
CHAOTIC DIFFUSION
SHANNON ENTROPY
4D MAPS
THREE BODY PROBLEM - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/147532
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The Shannon entropy: An efficient indicator of dynamical stabilityCincotta, Pablo MiguelGiordano, Claudia MarcelaAblin, SilvanaAbdala, Cristian SimónCHAOTIC DIFFUSIONSHANNON ENTROPY4D MAPSTHREE BODY PROBLEMhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In this work it is shown that the Shannon entropy is an efficient dynamical indicator that provides adirect measure of the diffusion rate and thus a time-scale for the instabilities arising when dealing withchaos. Its computation just involves the solution of the Hamiltonian flow, the variational equationsare not required. After a review of the theory behind this approach, two particular applications arepresented; a 4D symplectic map and the exoplanetary system HD 181433, approximated by the PlanarThree Body Problem. Successful results are obtained for instability time-scales when compared withdirect long range integrations (N-body or just iterations). Comparative dynamical maps reveal that thisnovel technique provides much more dynamical information than a classical chaos indicator.Fil: Cincotta, Pablo Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; ArgentinaFil: Giordano, Claudia Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; ArgentinaFil: Ablin, Silvana. Universidade do Sao Paulo. Instituto de Astronomia, Geofísica e Ciências Atmosféricas; BrasilFil: Abdala, Cristian Simón. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Astronomía Teórica y Experimental. Universidad Nacional de Córdoba. Observatorio Astronómico de Córdoba. Instituto de Astronomía Teórica y Experimental; ArgentinaElsevier Science2020-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/147532Cincotta, Pablo Miguel; Giordano, Claudia Marcela; Ablin, Silvana; Abdala, Cristian Simón; The Shannon entropy: An efficient indicator of dynamical stability; Elsevier Science; Physica D - Nonlinear Phenomena; 417; 12-2020; 132816, 1-110167-2789CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.physd.2020.132816info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0167278920308174?via%3Dihubinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:55:17Zoai:ri.conicet.gov.ar:11336/147532instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:55:17.754CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
The Shannon entropy: An efficient indicator of dynamical stability |
title |
The Shannon entropy: An efficient indicator of dynamical stability |
spellingShingle |
The Shannon entropy: An efficient indicator of dynamical stability Cincotta, Pablo Miguel CHAOTIC DIFFUSION SHANNON ENTROPY 4D MAPS THREE BODY PROBLEM |
title_short |
The Shannon entropy: An efficient indicator of dynamical stability |
title_full |
The Shannon entropy: An efficient indicator of dynamical stability |
title_fullStr |
The Shannon entropy: An efficient indicator of dynamical stability |
title_full_unstemmed |
The Shannon entropy: An efficient indicator of dynamical stability |
title_sort |
The Shannon entropy: An efficient indicator of dynamical stability |
dc.creator.none.fl_str_mv |
Cincotta, Pablo Miguel Giordano, Claudia Marcela Ablin, Silvana Abdala, Cristian Simón |
author |
Cincotta, Pablo Miguel |
author_facet |
Cincotta, Pablo Miguel Giordano, Claudia Marcela Ablin, Silvana Abdala, Cristian Simón |
author_role |
author |
author2 |
Giordano, Claudia Marcela Ablin, Silvana Abdala, Cristian Simón |
author2_role |
author author author |
dc.subject.none.fl_str_mv |
CHAOTIC DIFFUSION SHANNON ENTROPY 4D MAPS THREE BODY PROBLEM |
topic |
CHAOTIC DIFFUSION SHANNON ENTROPY 4D MAPS THREE BODY PROBLEM |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
In this work it is shown that the Shannon entropy is an efficient dynamical indicator that provides adirect measure of the diffusion rate and thus a time-scale for the instabilities arising when dealing withchaos. Its computation just involves the solution of the Hamiltonian flow, the variational equationsare not required. After a review of the theory behind this approach, two particular applications arepresented; a 4D symplectic map and the exoplanetary system HD 181433, approximated by the PlanarThree Body Problem. Successful results are obtained for instability time-scales when compared withdirect long range integrations (N-body or just iterations). Comparative dynamical maps reveal that thisnovel technique provides much more dynamical information than a classical chaos indicator. Fil: Cincotta, Pablo Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina Fil: Giordano, Claudia Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina Fil: Ablin, Silvana. Universidade do Sao Paulo. Instituto de Astronomia, Geofísica e Ciências Atmosféricas; Brasil Fil: Abdala, Cristian Simón. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Astronomía Teórica y Experimental. Universidad Nacional de Córdoba. Observatorio Astronómico de Córdoba. Instituto de Astronomía Teórica y Experimental; Argentina |
description |
In this work it is shown that the Shannon entropy is an efficient dynamical indicator that provides adirect measure of the diffusion rate and thus a time-scale for the instabilities arising when dealing withchaos. Its computation just involves the solution of the Hamiltonian flow, the variational equationsare not required. After a review of the theory behind this approach, two particular applications arepresented; a 4D symplectic map and the exoplanetary system HD 181433, approximated by the PlanarThree Body Problem. Successful results are obtained for instability time-scales when compared withdirect long range integrations (N-body or just iterations). Comparative dynamical maps reveal that thisnovel technique provides much more dynamical information than a classical chaos indicator. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-12 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/147532 Cincotta, Pablo Miguel; Giordano, Claudia Marcela; Ablin, Silvana; Abdala, Cristian Simón; The Shannon entropy: An efficient indicator of dynamical stability; Elsevier Science; Physica D - Nonlinear Phenomena; 417; 12-2020; 132816, 1-11 0167-2789 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/147532 |
identifier_str_mv |
Cincotta, Pablo Miguel; Giordano, Claudia Marcela; Ablin, Silvana; Abdala, Cristian Simón; The Shannon entropy: An efficient indicator of dynamical stability; Elsevier Science; Physica D - Nonlinear Phenomena; 417; 12-2020; 132816, 1-11 0167-2789 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physd.2020.132816 info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0167278920308174?via%3Dihub |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Elsevier Science |
publisher.none.fl_str_mv |
Elsevier Science |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
reponame_str |
CONICET Digital (CONICET) |
collection |
CONICET Digital (CONICET) |
instname_str |
Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.name.fl_str_mv |
CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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13.13397 |