dc.contributor.author
Gasull, Armengol
dc.contributor.author
Giné, Jaume
dc.contributor.author
Valls, Claudia
dc.date.accessioned
2024-12-05T21:32:50Z
dc.date.available
2024-12-05T21:32:50Z
dc.date.issued
2018-04-04T12:52:57Z
dc.date.issued
2019-10-05T22:18:35Z
dc.date.issued
2018-04-04T12:52:58Z
dc.identifier
https://doi.org/10.1016/j.jde.2017.05.008
dc.identifier
http://hdl.handle.net/10459.1/62979
dc.identifier.uri
http://hdl.handle.net/10459.1/62979
dc.description.abstract
We give a complete algebraic characterization of the non-degenerated centers for planar trigonometric Liénard systems. The main tools used in our proof are the classical results of Cherkas on planar analytic Liénard systems and the characterization of some subfields of the quotient field of the ring of trigonometric polynomials. Our results are also applied to some particular subfamilies of planar trigonometric Liénard systems. The results obtained are reminiscent of the ones for planar polynomial Liénard systems but the proofs are different.
dc.description.abstract
The first author is partially supported by the MINECO MTM2013-40998-P and the
AGAUR (Generalitat de Catalunya) 2014SGR568 grants. The second author is partially
supported by the MINECO/FEDER grant number MTM2014-53703-P and the AGAUR
grant number 2014SGR 1204. The third author is partially supported by FCT/Portugal
through UID/MAT/04459/2013.
dc.format
application/pdf
dc.relation
MINECO/PN2013-2016/MTM2013-40998-P
dc.relation
MINECO/PN2013-2016/MTM2014-53703-P
dc.relation
Versió postprint del document publicat a https://doi.org/10.1016/j.jde.2017.05.008
dc.relation
Journal of Differential Equations, 2017, vol. 263, p. 3928-3942
dc.rights
cc-by-nc-nd (c) Elsevier, 2017
dc.rights
info:eu-repo/semantics/openAccess
dc.rights
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject
Center problem
dc.subject
Trigonometric Liénard equation
dc.subject
Trigonometric polynomial
dc.title
Center problem for trigonometric Liénard systems
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/acceptedVersion
