Centers of weight-homogeneous polynomial vector fields on the plane

Author

Giné, Jaume

Llibre, Jaume

Valls, Claudia

Publication date

2018-03-23T17:26:39Z

2018-03-23T17:26:39Z

2017

2018-03-23T17:26:39Z



Abstract

We characterize all centers of a planar weight-homogeneous polynomial vector fields. Moreover we classify all centers of a planar weight-homogeneous polynomial vector fields of degrees $6$ and $7$.


The first author was partially supported by MINECO/FEDER grant number MTM2014-53703-P and AGAUR (Generalitat de Catalunya) grant number 2014SGR 1204. The second author was partially supported by MINECO grant MTM2013-40998-P, AGAUR grant number 2014 SGR568, the grants FP7-PEOPLE-2012-IRSES 318999 and 316338, and the MINECO/FEDER grant UNAB13-4E-1604. The third author was partially supported by FCT/Portugal through UID/MAT/04459/2013

Document Type

Article
Accepted version

Language

English

Subjects and keywords

Hopf bifurcation; Chaotic System; Darboux integrability; Poincaré compactification; Weight-homogeneous polynomial differential Systems; Quasi-homogeneous polynomial differential systems

Publisher

American Mathematical Society

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info:eu-repo/grantAgreement/MINECO//MTM2014-53703-P/ES/METODOS CUALITATIVOS EN SISTEMAS DIFERENCIALES CONTINUOS/

info:eu-repo/grantAgreement/MINECO//MTM2013-40998-P/ES/ALGUNOS ASPECTOS DE LA DINAMICA GLOBAL DE LOS SISTEMAS DIFERENCIALES: INTEGRABILIDAD, SOLUCIONES PERIODICAS Y BIFURCACIONES/

Versió postprint del document publicat a: https://doi.org/10.1090/proc/13393

Proceedings of the American Mathematical Society, 2017, vol. 145, núm. 6, p. 2539-2555

info:eu-repo/grantAgreement/EC/FP7/318999

info:eu-repo/grantAgreement/EC/FP7/316338

Rights

(c) American Mathematical Society, 2017

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