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| Home > Articles > Published articles > Nondegenerate linearizable centres of complex planar quadratic and symmetric cubic systems in C2 |
| Date: | 2001 |
| Abstract: | 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. |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Published in: | Publicacions matemàtiques, V. 45 N. 1 (2001) , p. 95-123, ISSN 2014-4350 |
