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dc.contributor.author
Cincotta, Pablo Miguel
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dc.date.available
2018-02-22T14:28:03Z
dc.date.issued
2002-12
dc.identifier.citation
Cincotta, Pablo Miguel; Arnold diffusion: an overview through dynamical astronomy; Elsevier; New Astronomy Reviews; 46; 1; 12-2002; 13-39
dc.identifier.issn
1387-6473
dc.identifier.uri
http://hdl.handle.net/11336/36957
dc.description.abstract
The aim of this work is to review the fundamental ideas behind the stability problem, emphasizing the differences between two well-known mechanisms that could lead to chaos, namely overlap of resonances and Arnold diffusion. Here we restrict the discussion to multidimensional autonomous Hamiltonian systems which are of major relevance in Dynamical Astronomy. Arnold diffusion is reviewed in a standard mathematical language, by means of different tools such as heuristic reasoning, graphic and geometrical considerations and numerical experiments. In this direction the pioneer work due to Chirikov [PhR 52 (1979) 263] is followed, but including additional notes, further examples and useful discussions that may well illuminate the understanding of Arnold diffusion. We also summarize the main difficulties when coping with this instability, from both the analytical and numerical sides of the problem. The discussion whether Arnold diffusion could play any role in the dynamical evolution of, for instance elliptical galaxies, is also included.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Chaos
dc.subject
Diffusion
dc.subject
Instabilities
dc.subject
Galaxies
dc.subject
Dynamics (Galaxias)
dc.subject.classification
Astronomía
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Arnold diffusion: an overview through dynamical astronomy
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-02-19T16:54:28Z
dc.journal.volume
46
dc.journal.number
1
dc.journal.pagination
13-39
dc.journal.pais
Países Bajos
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dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Cincotta, Pablo Miguel. Universidad Nacional de la Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina. 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
New Astronomy Reviews
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/S1387-6473(01)00153-1
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://adsabs.harvard.edu/abs/2002NewAR..46...13C
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