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dc.contributor.author
Mestre, Martin Federico
dc.contributor.author
Cincotta, Pablo Miguel
dc.contributor.author
Giordano, Claudia Marcela
dc.date.available
2018-04-20T14:59:28Z
dc.date.issued
2009-03
dc.identifier.citation
Mestre, Martin Federico; Cincotta, Pablo Miguel; Giordano, Claudia Marcela; Testing the accuracy of the overlap criterion; Pergamon-Elsevier Science Ltd; International Journal Of Non-linear Mechanics; 44; 2; 3-2009; 180-189
dc.identifier.issn
0020-7462
dc.identifier.uri
http://hdl.handle.net/11336/42820
dc.description.abstract
Here we investigate the accuracy of the overlap criterion when applied to a simple near-integrable model in both its 2D and 3D versions. To this end, we consider, respectively, two and three quartic oscillators as the unperturbed system, and couple the degrees of freedom by a cubic, non-integrable perturbation. For both systems we compute the unperturbed resonances up to order O(2), and model each resonance by means of the pendulum approximation in order to estimate the theoretical critical value of the perturbation parameter for a global transition to chaos. We perform several surface of sections for the bi-dimensional case to derive an empirical value to be compared to our theoretical estimation. Although both values are of the same order of magnitude, there is a significant difference between them. For the 3D case a numerical estimate is attained that we observe matches quite well the critical value resulting from theoretical means. This confirms once again that calculating resonances up to O(2) suffices in order the overlap criterion to work out.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Pergamon-Elsevier Science Ltd
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Chaos
dc.subject
Resonances
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Numerical Methods
dc.subject
Theoretical Methods
dc.subject.classification
Astronomía
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Testing the accuracy of the overlap criterion
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-04-19T18:32:13Z
dc.journal.volume
44
dc.journal.number
2
dc.journal.pagination
180-189
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam, Netherlands
dc.description.fil
Fil: Mestre, Martin Federico. 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.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.journal.title
International Journal Of Non-linear Mechanics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.ijnonlinmec.2008.11.003
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0020746208001868?via%3Dihub