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dc.contributor.author
Giordano, Claudia Marcela
dc.contributor.author
Olvera, Arturo
dc.date.available
2023-09-08T12:22:01Z
dc.date.issued
2022-01
dc.identifier.citation
Giordano, Claudia Marcela; Olvera, Arturo; Asymptotic study of the Levitron dynamics; EDP Sciences; European Physical Journal: Special Topics; 231; 3; 1-2022; 309-318
dc.identifier.issn
1951-6355
dc.identifier.uri
http://hdl.handle.net/11336/210886
dc.description.abstract
In the present effort, we revist the Levitron’s dynamics in the line of previous works due to Berry, Dullin and Easton, and Gans. An invariant set in the Eulerian formulation is delivered and a local study is performed which disclose the dynamics on the invariant manifold which coincides to that obtained by Dullin and Easton using the yaw–pitch–roll angles. Moreover, we extend the results of Gans, being able to determine further stable regions for the magnetic levitation of the Levitron. Symmetric and asymmetric trajectories close to an analytical solution are numerically explored. An asymptotic multiscale analysis is also carried out with the aim of studying the nonlinear interaction between the traslational and rotational modes. By recourse to a Hamiltonian approach, we provide the study of the local behavior of the Levitron near an equilibrium point of the system. Also, the existence of invariant regions in phase space corresponding to persistent levitation of the top are detected. The performed numerical studies serve to elucidate the Levitron’s behavior.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
EDP Sciences
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
LEVITRON'S DYNAMICS
dc.subject
LOCAL ANALYSIS
dc.subject
INVARIANT SETS
dc.subject
ASYMTOTIC STUDIES
dc.subject.classification
Otras Ciencias Físicas
dc.subject.classification
Ciencias Físicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Asymptotic study of the Levitron dynamics
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-09-05T18:05:15Z
dc.journal.volume
231
dc.journal.number
3
dc.journal.pagination
309-318
dc.journal.pais
Francia
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: Olvera, Arturo. Universidad Nacional Autónoma de México; México
dc.journal.title
European Physical Journal: Special Topics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/10.1140/epjs/s11734-021-00418-0
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1140/epjs/s11734-021-00418-0
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