Barreira, LuisLlibre, JaumeValls, Claudia2021-09-292021-09-292020-06-08Barreira, 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. 1-14.1072-6691https://hdl.handle.net/10877/14564A 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.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalCenterGlobal centerHamiltonian systemSymmetry with respect to the x-axisCubic polynomial differential systemArticle