Centers for a class of generalized quintic polynomial differential systems

dc.contributor.author
Giné, Jaume
dc.contributor.author
Llibre, Jaume
dc.contributor.author
Valls, Claudia
dc.date.accessioned
2024-12-05T22:18:08Z
dc.date.available
2024-12-05T22:18:08Z
dc.date.issued
2017-10-27T10:02:54Z
dc.date.issued
2017-10-27T10:02:54Z
dc.date.issued
2014
dc.identifier
https://doi.org/10.1016/j.amc.2014.05.047
dc.identifier
0096-3003
dc.identifier
http://hdl.handle.net/10459.1/60383
dc.identifier.uri
http://hdl.handle.net/10459.1/60383
dc.description.abstract
We classify the centers of the polynomial differential systems in R2 of degree d ≥ 5 odd that in complex notation writes as z˙ = iz + (zz¯)d−5/2 (Az5 + Bz4z¯ + Cz3z¯2 + Dz2z¯3 + Ezz¯4 + Fz¯5), where A, B, C, D, E, F ∈ C and either A = Re(D) = 0, or A = Im(D) = 0, or Re(A) = D = 0, or Im(A) = D = 0.
dc.description.abstract
The first author is partially supported by a MINECO/ FEDER grant number MTM2011-22877 and an AGAUR (Generalitat de Catalunya) grant number 2014SGR 1204. The second author is partially supported by a MINECO/ FEDER grant number MTM2008-03437, an AGAUR grant number 2014SGR 568, ICREA Academia, two FP7-PEOPLE-2012-IRSES numbers 316338 and 318999, and FEDER-UNAB10-4E-378. The third author is supported by Portuguese National Funds through FCT – Fundação para a Ciência e a Tecnologia within the project PTDC/MAT/117106/2010 and by CAMGSD.
dc.language
eng
dc.publisher
Elsevier
dc.relation
info:eu-repo/grantAgreement/MICINN//MTM2011-22877/ES/BIFURCACIONES, INTEGRABILIDAD Y PROPIEDADES CUALITATIVAS DE FAMILIAS DE CAMPOS VECTORIALES/
dc.relation
info:eu-repo/grantAgreement/MICINN//MTM2008-03437/ES/ORBITAS PERIODICAS, BIFURCACIONES E INTEGRABILIDAD DE LOS SISTEMAS DINAMICOS/
dc.relation
Versió preprint del document publicat a https://doi.org/10.1016/j.amc.2014.05.047
dc.relation
Applied Mathematics and Computation, 2014, vol. 242, p. 187-195
dc.relation
info:eu-repo/grantAgreement/EC/FP7/316338
dc.relation
info:eu-repo/grantAgreement/EC/FP7/318999
dc.rights
(c) Elsevier, 2014
dc.rights
info:eu-repo/semantics/openAccess
dc.title
Centers for a class of generalized quintic polynomial differential systems
dc.type
article
dc.type
submittedVersion


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