Per citar aquest document: http://ddd.uab.cat/record/1962
Nondegenerate linearizable centres of complex planar quadratic and symmetric cubic systems in C2
Christopher, C.
Rousseau, C.

Data: 2001
Resum: 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.
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: Article ; recerca ; article ; publishedVersion
Publicat a: Publicacions matematiques, V. 45 N. 1 (2001) , p. 95-123, ISSN 0214-1493

DOI: 10.5565/PUBLMAT_45101_04


29 p, 233.7 KB

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