Global behaviour of the period function of the sum of two quasi-homogeneous vector fields

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dc.contributor.author Gasull, A.
dc.contributor.author Álvarez, M.J.
dc.contributor.author Prohens, R.
dc.date.accessioned 2020-04-03T06:09:51Z
dc.date.available 2020-04-03T06:09:51Z
dc.identifier.uri http://hdl.handle.net/11201/151921
dc.description.abstract [eng] We study the global behaviour of the period function on the period annulus of degenerate centers for two families of planar polynomial vector fields. These families are the quasi-homogeneous vector fields and the vector fields given by the sum of two quasi-homogeneous Hamiltonian ones. In the first case we prove that the period function is globally decreasing, extending previous results that deal either with the Hamiltonian quasi-homogeneous case or with the general homogeneous situation. In the second family, and after adding some more additional hypotheses, we show that the period function of the origin is either decreasing or has at most one critical period and that both possibilities may happen. This result also extends some previous results that deal with the situation where both vector fields are homogenous and the origin is a non-degenerate center.
dc.format application/pdf
dc.relation.isformatof Versió postprint del document publicat a: https://doi.org/10.1016/j.jmaa.2016.12.077
dc.relation.ispartof Journal of Mathematical Analysis and Applications, 2017, vol. 449, num. 2, p. 1553-1569
dc.subject.classification 004 - Informàtica
dc.subject.classification 51 - Matemàtiques
dc.subject.other 004 - Computer Science and Technology. Computing. Data processing
dc.subject.other 51 - Mathematics
dc.title Global behaviour of the period function of the sum of two quasi-homogeneous vector fields
dc.type info:eu-repo/semantics/article
dc.type info:eu-repo/semantics/acceptedVersion
dc.date.updated 2020-04-03T06:09:51Z
dc.rights.accessRights info:eu-repo/semantics/openAccess
dc.identifier.doi https://doi.org/10.1016/j.jmaa.2016.12.077


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