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Página principal > Artículos > Artículos publicados > Nondegenerate linearizable centres of complex planar quadratic and symmetric cubic systems in C2 |
Fecha: | 2001 |
Resumen: | In this paper we consider complex differential systems in the plane, which are linearizable in the neighborhood of a nondegenerate centre. We find necessary and sufficient conditions for linearizability for the class of complex quadratic systems and for the class of complex cubic systems symmetric with respect to a centre. The sufficiency of these conditions is shown by exhibiting explicitly a linearizing change of coordinates, either of Darboux type or a generalization of it. |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió publicada |
Publicado en: | Publicacions matemàtiques, V. 45 N. 1 (2001) , p. 95-123, ISSN 2014-4350 |
29 p, 233.7 KB |