On the normal form of a system of differential equations with nilpotent linear part |
| |
Authors: | Mireille Canalis-Durand Reinhard Schäfke |
| |
Affiliation: | 1. GREQAM, Université d''Aix-Marseille III, 13002 Marseille, France;2. IRMA, Université Louis Pasteur, 67084 Strasbourg cedex, France |
| |
Abstract: | We consider prenormal forms associated to generic perturbations of the system . It is known that they have a formal normal form , where [Differential Equations 158 (1) (1999) 152–173]. We show that the series A0 and the normalizing transformations are divergent, but 1-summable. To cite this article: M. Canalis-Durand, R. Schäfke, C. R. Acad. Sci. Paris, Ser. I 336 (2003). |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|