Luis Barreira, Jaume Llibre, Claudia Valls
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.
Submitted January 10, 2019. Published June 8, 2020.
Math Subject Classifications: 34C05, 34C07, 34C08.
Key Words: Center; global center; Hamiltonian system;
symmetry with respect to the x-axis;
cubic polynomial differential system.
DOI: 10.58997/ejde.2020.57
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| Luis Barreira Departamento de Matemática Instituto Superior Técnico Universidade de Lisboa Av. Rovisco Pais 1049-001, Lisboa, Portugal email: barreira@math.tecnico.ulisboa.pt | |
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Jaume Llibre Departament de Matemàtiques Universitat Aut\`onoma de Barcelona 08193 Bellaterra, Barcelona, Catalonia, Spain email: jllibre@mat.uab.cat |
| Claudia Valls Departamento de Matemática Instituto Superior Técnico Universidade de Lisboa Av. Rovisco Pais 1049-001, Lisboa, Portugal email: cvalls@math.tecnico.ulisboa.pt |
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