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dc.contributor.author
Muzzio, Juan Carlos
dc.date.available
2019-09-03T16:25:30Z
dc.date.issued
2018-02
dc.identifier.citation
Muzzio, Juan Carlos; Chaotic orbits obeying one isolating integral in a four-dimensional map; Wiley Blackwell Publishing, Inc; Monthly Notices of the Royal Astronomical Society; 473; 4; 2-2018; 4636-4643
dc.identifier.issn
0035-8711
dc.identifier.uri
http://hdl.handle.net/11336/82794
dc.description.abstract
We have recently presented strong evidence that chaotic orbits that obey one isolating integral besides energy exist in a toy Hamiltonian model with three degrees of freedom and are bounded by regular orbits that isolate them from the Arnold web. The interval covered by those numerical experiments was equivalent to about one million Hubble times in a galactic context. Here, we use a four-dimensional map to confirm our previous results and to extend that interval 50 times. We show that, at least within that interval, features found in lower dimension Hamiltonian systems and maps are also present in our study, e.g. within the phase space occupied by a chaotic orbit that obeys one integral there are subspaces where that orbit does not enter and are, instead, occupied by regular orbits that, if tori, bound other chaotic orbits obeying one integral and, if cantori, produce stickiness. We argue that the validity of our results might exceed the time intervals covered by the numerical experiments.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Wiley Blackwell Publishing, Inc
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Celestial Mechanics
dc.subject
Chaos
dc.subject
Galaxies: Kinematics And Dynamics
dc.subject
Methods: Numerical
dc.subject.classification
Astronomía
dc.subject.classification
Ciencias Físicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Chaotic orbits obeying one isolating integral in a four-dimensional map
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-08-28T17:58:43Z
dc.journal.volume
473
dc.journal.number
4
dc.journal.pagination
4636-4643
dc.journal.pais
Reino Unido
dc.journal.ciudad
Londres
dc.description.fil
Fil: Muzzio, Juan Carlos. 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
Monthly Notices of the Royal Astronomical Society
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1093/mnras/stx2653
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://academic.oup.com/mnras/article/473/4/4636/4443213


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