Geometric criterium in the center problem

dc.contributor.author
Algaba, Antonio
dc.contributor.author
García, Cristóbal
dc.contributor.author
Giné, Jaume
dc.date.accessioned
2024-12-05T22:13:00Z
dc.date.available
2024-12-05T22:13:00Z
dc.date.issued
2017-04-04T11:03:34Z
dc.date.issued
2025-01-01
dc.date.issued
2016-10
dc.date.issued
2017-04-04T11:03:36Z
dc.identifier
https://doi.org/10.1007/s00009-015-0641-0
dc.identifier
1660-5446
dc.identifier
http://hdl.handle.net/10459.1/59434
dc.identifier.uri
http://hdl.handle.net/10459.1/59434
dc.description.abstract
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.
dc.description.abstract
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.
dc.format
application/pdf
dc.language
eng
dc.publisher
Springer Basel
dc.relation
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/
dc.relation
info:eu-repo/grantAgreement/MICINN//MTM2011-22877/ES/BIFURCACIONES, INTEGRABILIDAD Y PROPIEDADES CUALITATIVAS DE FAMILIAS DE CAMPOS VECTORIALES/
dc.relation
Reproducció del document publicat a https://doi.org/10.1007/s00009-015-0641-0
dc.relation
Mediterranean Journal of Mathematics, 2016, vol. 13, num. 5, p. 2593-2611
dc.rights
(c) Springer Basel, 2016
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.subject
Nonlinear differential systems
dc.subject
Integrability problem
dc.subject
Degenerate center problem
dc.title
Geometric criterium in the center problem
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/publishedVersion


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