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Página principal > Artículos > Artículos publicados > Universal centers and composition conditions |
Fecha: | 2013 |
Resumen: | In this paper we characterize the universal centers of the ordinary differential equations dρ/dθ =∑∞i=1 ai(θ)ρi+1, where ai(θ) are trigonometric polynomials, in terms of the composition conditions. These centers are closely related with the classical Poincaré center problem for planar analytic differential systems. Additionally we show that the notion of universal center is not invariant under changes of variables, and we also provide different families of universal centers. Finally we characterize all the universal centers for the quadratic polynomial differential systems. |
Ayudas: | Ministerio de Ciencia y Tecnología MTM2008-00694 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-381 Ministerio de Ciencia y Tecnología MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió acceptada per publicar |
Materia: | Center problem ; Universal center ; Composition conditions ; Analytic differential equations ; Polynomial differential equations ; Quadratic centers ; Iterated integrals |
Publicado en: | Proceedings of the London Mathematical Society. Third Series, Vol. 106 (2013) , p. 481-507, ISSN 0024-6115 |
Postprint 26 p, 752.3 KB |