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dc.contributor.author
Cincotta, Pablo Miguel
dc.contributor.author
Giordano, Claudia Marcela
dc.contributor.author
Silva, Raphael Alves
dc.contributor.author
Beauge, Cristian
dc.date.available
2021-10-26T19:28:07Z
dc.date.issued
2021-02-17
dc.identifier.citation
Cincotta, Pablo Miguel; Giordano, Claudia Marcela; Silva, Raphael Alves; Beauge, Cristian; Shannon entropy diffusion estimates: Sensitivity on the parameters of the method; Springer; Celestial Mechanics & Dynamical Astronomy; 133; 2; 17-2-2021; 1-20
dc.identifier.issn
0923-2958
dc.identifier.uri
http://hdl.handle.net/11336/145135
dc.description.abstract
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, DS, 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 DS 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 DS are presented in both cases.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
CHAOTIC DIFFUSION
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RESONANCES
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SHANNON ENTROPY
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THREE-BODY PROBLEM
dc.subject.classification
Astronomía
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Shannon entropy diffusion estimates: Sensitivity on the parameters of the method
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2021-07-01T14:24:27Z
dc.identifier.eissn
1572-9478
dc.journal.volume
133
dc.journal.number
2
dc.journal.pagination
1-20
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
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
dc.description.fil
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
dc.description.fil
Fil: Silva, Raphael Alves. Universidade de Sao Paulo; Brasil
dc.description.fil
Fil: Beauge, Cristian. 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
dc.journal.title
Celestial Mechanics & Dynamical Astronomy
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/10.1007/s10569-021-10006-y
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10569-021-10006-y
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