Web of Science: 34 cites, Google Scholar: cites
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 ; Versió publicada
Publicat a: Publicacions matemàtiques, V. 45 N. 1 (2001) , p. 95-123, ISSN 2014-4350

Adreça original: https://www.raco.cat/index.php/PublicacionsMatematiques/article/view/38008
DOI: 10.5565/PUBLMAT_45101_04


29 p, 233.7 KB

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