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dc.contributor.author
Giordano, Claudia Marcela
dc.contributor.author
Cincotta, Pablo Miguel
dc.date.available
2020-01-31T14:09:56Z
dc.date.issued
2018-04
dc.identifier.citation
Giordano, Claudia Marcela; Cincotta, Pablo Miguel; The Shannon entropy as a measure of diffusion in multidimensional dynamical systems; Springer; Celestial Mechanics & Dynamical Astronomy; 130; 5; 4-2018; 1-21
dc.identifier.issn
0923-2958
dc.identifier.uri
http://hdl.handle.net/11336/96355
dc.description.abstract
In the present work, we introduce two new estimators of chaotic diffusion based on the Shannon entropy. Using theoretical, heuristic and numerical arguments, we show that the entropy, S, provides a measure of the diffusion extent of a given small initial ensemble of orbits, while an indicator related with the time derivative of the entropy, S´, estimates the diffusion rate. We show that in the limiting case of near ergodicity, after an appropriate normalization, S´ coincides with the standard homogeneous diffusion coefficient. The very first application of this formulation to a 4D symplectic map and to the Arnold Hamiltonian reveals very successful and encouraging results.
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
dc.subject
MULTIDIMENSIONAL DYNAMICAL SYSTEMS
dc.subject
ENTROPY
dc.subject
RATE OF DIFFUSION
dc.subject.classification
Astronomía
dc.subject.classification
Ciencias Físicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
The Shannon entropy as a measure of diffusion in multidimensional dynamical systems
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-10-23T14:23:41Z
dc.journal.volume
130
dc.journal.number
5
dc.journal.pagination
1-21
dc.journal.pais
Alemania
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: 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.journal.title
Celestial Mechanics & Dynamical Astronomy
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/10.1007/s10569-018-9832-x
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10569-018-9832-x
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