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

A 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...

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Bibliographic Details
Main Authors: Luis Barreira, Jaume Llibre, Claudia Valls
Format: Article
Language:English
Published: Texas State University 2020-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2020/57/abstr.html