Linear type global centers of cubic Hamiltonian systems symmetric with respect to the x-axis

dc.contributor.authorBarreira, Luis
dc.contributor.authorLlibre, Jaume
dc.contributor.authorValls, Claudia
dc.date.accessioned2021-09-29T20:26:15Z
dc.date.available2021-09-29T20:26:15Z
dc.date.issued2020-06-08
dc.description.abstractA polynomial differential system of degree 2 has no global centers (that is, centers defined in all the plane except the fixed point). In this paper we characterize the global centers of cubic Hamiltonian systems symmetric with respect to the x-axis, and such that the center has purely imaginary eigenvalues.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBarreira, L., Llibre, J., & Valls, C. (2020). Linear type global centers of cubic Hamiltonian systems symmetric with respect to the x-axis. <i>Electronic Journal of Differential Equations, 2020</i>(57), pp. 1-14.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14564
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectCenter
dc.subjectGlobal center
dc.subjectHamiltonian system
dc.subjectSymmetry with respect to the x-axis
dc.subjectCubic polynomial differential system
dc.titleLinear type global centers of cubic Hamiltonian systems symmetric with respect to the x-axisen_US
dc.typeArticle

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