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Página principal > Artículos > Artículos publicados > Analytic reducibility of nondegenerate centers: Cherkas systems |
Fecha: | 2016 |
Resumen: | In this paper we study the center problem for polynomial differential systems and we prove that any center of an analytic differential system is analytically reducible. We also study the centers for the Cherkas polynomial differential systems x˙ = y, y˙ = P0(x) + P1(x)y + P2(x)y2, where Pi(x) are polynomials of degree n, P0(0) = 0 and P'0(0) < 0. Computing the focal values we find the center conditions for such systems for degree 3, and using modular arithmetics for degree 4. Finally we do a conjecture about the center conditions for Cherkas polynomial differential systems of degree n. |
Ayudas: | Ministerio de Educación y Ciencia MTM2014-53703-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-1204 Ministerio de Educación y Ciencia MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 316339 |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió acceptada per publicar |
Materia: | Analytic integrability ; Center problem ; Polynomial Cherkas differential systems |
Publicado en: | Electronic Journal of Qualitative Theory of Differential Equations, Vol. 49 (2016) , p. 1-10, ISSN 1417-3875 |
Postprint 12 p, 363.9 KB |