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Página principal > Artículos > Artículos publicados > Planar real polynomial differential systems of degree n>3 having a weak focus of high order |
Fecha: | 2012 |
Resumen: | We construct planar polynomial differential systems of even (respectively odd) degree n > 3, of the form linear plus a nonlinear homogeneous part of degree n having a weak focus of order n2 − 1 (respectively n2−1/2) at the origin. As far as we know this provides the highest order known until now for a weak focus of a polynomial differential system of arbitrary degree n. |
Ayudas: | Ministerio de Ciencia y Tecnología 2005-06098-c02-01 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-550 |
Nota: | Agraïments: the second author is partially supported by CAPES (Brazil) with grant BEX: 2256/05-3 |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió acceptada per publicar |
Materia: | Center ; Weak focus ; Polynomial vector fields |
Publicado en: | The Rocky Mountain Journal of Mathematics, Vol. 42 Núm. 2 (2012) , p. 657-693, ISSN 0035-7596 |
Postprint 25 p, 507.7 KB |