Universitat de Lleida
We provide 13 non--topological equivalent classes of global phase portraits in the Poincaré disk of reversible cubic homogeneous systems with a nilpotent center at origin, which complete the classification of the phase portraits of the nilpotent centers with cubic homogeneous nonlinearities.
The research for this paper was been done during the three months visit of the firts author at Lleida. She obtained a Slovenian scholarshipfor the Research Cooperation of Doctoral Students Abroad in Year 2013. The second author is partially supported by a MINECO/ FEDER grant number MTM2014-53703-P and by an AGAUR (Generalitat de Catalunya) grant number 2014SGR 1204. The third author is partially supported by a MINECO/FEDER grant MTM2008-03437 and MTM2013-40998-P, an AGAUR grant number 2013SGR-568, an ICREA Academia, the grants FP7-PEOPLE- 2012-IRSES 318999 and 316338, FEDER-UNAB-10-4E-378.
English
Two dimensional differential systems; Nilpotent centers; Cubic polynomial differential systems; Phase portrait; Matemàtica; Mathematics
Elsevier
info:eu-repo/grantAgreement/MINECO//MTM2014-53703-P/ES/METODOS CUALITATIVOS EN SISTEMAS DIFERENCIALES CONTINUOS/
info:eu-repo/grantAgreement/MICINN//MTM2008-03437/ES/ORBITAS PERIODICAS, BIFURCACIONES E INTEGRABILIDAD DE LOS SISTEMAS DINAMICOS/
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/10.1016/j.jmaa.2015.07.049
Journal of Mathematical Analysis and Applications, 2016, vol. 433, núm. 1, p. 305-319
info:eu-repo/grantAgreement/EC/FP7/318999
info:eu-repo/grantAgreement/EC/FP7/316338
cc-by-nc-nd (c) Elsevier, 2016
https://creativecommons.org/licenses/by-nc-nd/4.0/deed.ca
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