Jaume Gine, Jaume Llibre, Claudia Valls
Abstract:
We characterize the centers of the Chiellini Hamiltonian Lienard
second-order differential equations
,
where
with
. Moreover we study the phase portraits
in the Poincare disk of these systems when
is linear.
Submitted January 26, 2019. Published May 17, 2019.
Math Subject Classifications: 34C05, 34A34, 34C14.
Key Words: Lienard system; center-focus problem; first integrals.
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Jaume Giné Departament de Matemàtica Inspires Research Centre Universitat de Lleida Avda. Jaume II, 69 25001 Lleida, Catalonia, Spain email: gine@matematica.udl.cat |
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Jaume Llibre Departament de Matemàtiques Universitat Autònoma de Barcelona 08193 Bellaterra, Barcelona, Catalonia, Spain email: jllibre@mat.uab.cat |
Claudia Valls Departamento de Matemática Instituto Superior Técnico Av. Rovisco Pais 1049-001 Lisboa, Portugal email: cvalls@math.ist.utl.pt |
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