Universitat de Lleida
In this paper we use a geometric criterium based in the classical method of the construction of Lyapunov functions to determine if a differential system has a focus or a center at a singular point. This criterium is proved to be useful for several examples studied in previous works with other more specific methods.
The first and second authors are supported by a MINECO/FEDER grant number MTM2010-20907-C02-02 and by the Consejería de Educación y Ciencia de la Junta de Andalucía (projects P12-FQM-1658, TIC-130, FQM-276). The third author is partially supported by a MINECO/FEDER Grant number MTM2011-22877 and by an AGAUR (Generalitat de Catalunya) Grant number 2014SGR 1204.
Inglés
Nonlinear differential systems; Integrability problem; Degenerate center problem
Springer Basel
MICINN/PN2008-2011/MTM2010-20907 info:eu-repo/grantAgreement/MICINN//MTM2010-20907-C02-02/ES/FORMAS NORMALES Y APLICACIONES A CAMPOS VECTORIALES PLANOS Y TRIDIMENSIONALES/
info:eu-repo/grantAgreement/MICINN//MTM2011-22877/ES/BIFURCACIONES, INTEGRABILIDAD Y PROPIEDADES CUALITATIVAS DE FAMILIAS DE CAMPOS VECTORIALES/
Reproducció del document publicat a https://doi.org/10.1007/s00009-015-0641-0
Mediterranean Journal of Mathematics, 2016, vol. 13, num. 5, p. 2593-2611
(c) Springer Basel, 2016
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