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dc.contributor.author
Faranda, Davide
dc.contributor.author
Mestre, Martin Federico
dc.contributor.author
Turchetti, Giorgio
dc.date.available
2019-08-29T20:14:57Z
dc.date.issued
2012-09
dc.identifier.citation
Faranda, Davide; Mestre, Martin Federico; Turchetti, Giorgio; Analysis of round off errors with reversibility test as a dynamical indicator; World Scientific; International Journal Of Bifurcation And Chaos; 22; 9; 9-2012; 1250215-1250229
dc.identifier.issn
0218-1274
dc.identifier.uri
http://hdl.handle.net/11336/82526
dc.description.abstract
We compare the divergence of orbits and the reversibility error for discrete time dynamical systems. These two quantities are used to explore the behavior of the global error induced by round off in the computation of orbits. The similarity of results found for any system we have analyzed suggests the use of the reversibility error, whose computation is straightforward since it does not require the knowledge of the exact orbit, as a dynamical indicator. The statistics of fluctuations induced by round off for an ensemble of initial conditions has been compared with the results obtained in the case of random perturbations. Significant differences are observed in the case of regular orbits due to the correlations of round off error, whereas the results obtained for the chaotic case are nearly the same. Both the reversibility error and the orbit divergence computed for the same number of iterations on the whole phase space provide an insight on the local dynamical properties with a detail comparable with other dynamical indicators based on variational methods such as the finite time maximum Lyapunov characteristic exponent, the mean exponential growth factor of nearby orbits and the smaller alignment index. For 2D symplectic maps, the differentiation between regular and chaotic regions is well full-filled. For 4D symplectic maps, the structure of the resonance web as well as the nearby weakly chaotic regions are accurately described.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
World Scientific
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Discrete Time Dynamical Systems
dc.subject
Gali
dc.subject
Lce
dc.subject
Megno
dc.subject
Mlce
dc.subject
Reversibility Error
dc.subject
Sali
dc.subject
Standard Map
dc.subject.classification
Matemática Aplicada
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Analysis of round off errors with reversibility test as a dynamical indicator
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-08-23T17:42:19Z
dc.journal.volume
22
dc.journal.number
9
dc.journal.pagination
1250215-1250229
dc.journal.pais
Singapur
dc.journal.ciudad
Londres
dc.description.fil
Fil: Faranda, Davide. Universidad de Bologna; Italia
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: Turchetti, Giorgio. Universidad de Bologna; Italia
dc.journal.title
International Journal Of Bifurcation And Chaos
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1142/S021812741250215X
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.worldscientific.com/doi/pdf/10.1142/S021812741250215X
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