Linear type global centers of cubic Hamiltonian systems symmetric with respect to the x-axis
Date
2020-06-08
Authors
Barreira, Luis
Llibre, Jaume
Valls, Claudia
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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 eigenvalues.
Description
Keywords
Center, Global center, Hamiltonian system, Symmetry with respect to the x-axis, Cubic polynomial differential system
Citation
Barreira, 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.
Rights
Attribution 4.0 International