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Periodic motion in perturbed elliptic oscillators revisited

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dc.contributor Universitat de Vic - Universitat Central de Catalunya. Facultat de Ciències i Tecnologia
dc.contributor.author Corbera Subirana, Montserrat
dc.contributor.author Llibre, Jaume
dc.contributor.author Valls, C.
dc.date.accessioned 2018-02-28T16:42:02Z
dc.date.available 2018-02-28T16:42:02Z
dc.date.created 2016
dc.date.issued 2016
dc.identifier.citation Corbera, M., Llibre, J., Valls C. (2016). Periodic motion in perturbed elliptic oscillators revisited. Astrophysics and Space Science., 361(348), 1-8. es
dc.identifier.issn 0004-640X
dc.identifier.uri http://hdl.handle.net/10854/5362
dc.description.abstract We analytically study the Hamiltonian system in R4 with Hamiltonian H = 1 2 p2 x +p2 y + 1 2 ω2 1x2 +ω2 2y2 − εV (x, y) being V (x, y) = −(x2y + ax3) with a ∈ R, where ε is a small parameter and ω1 and ω2 are the unperturbed frequencies of the oscillations along the x and y axis, respectively. Using averaging theory of first and second order we analytically find seven families of periodic solutions in every positive energy level of H when the frequencies are not equal. Four of these seven families are defined for all a ∈ R whereas the other three are defined for all a = 0. Moreover, we provide the shape of all these families of periodic solutions. These Hamiltonians may represent the central parts of deformed galaxies and thus have been extensively used and studied mainly numerically in order to describe local motion in galaxies near an equilibrium point. es
dc.format application/pdf
dc.format.extent 8 p. es
dc.language.iso eng es
dc.publisher Springer Verlag es
dc.rights Tots els drets reservats es
dc.subject.other Estels binaris es
dc.title Periodic motion in perturbed elliptic oscillators revisited es
dc.type info:eu-repo/semantics/article es
dc.identifier.doi https://doi.org/10.1007/s10509-016-2927-5
dc.rights.accesRights info:eu-repo/semantics/openAccess es
dc.type.version info:eu-repo/acceptedVersion es
dc.indexacio Indexat a WOS/JCR es
dc.indexacio Indexat a SCOPUS es

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