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Analytical classification of saddle-node vector fields
- Source :
-
Comptes Rendus. Mathématique . Apr2003, Vol. 336 Issue 8, p619. 6p. - Publication Year :
- 2003
-
Abstract
- We describe the classification of germs of holomorphic saddle-node vector fields <f>Z</f> at <f>(0,0)∈C2</f>, up to analytical change of local coordinates. The classification of saddle-node foliations <f>FZ</f>, obtained by Martinet and Ramis, led to functional moduli. We reduce the conjugacy equation between two vector fields inducing the same foliation to a homological equation. We derive then a complete set of additional functional invariants for vector fields. To cite this article: L. Teyssier, C. R. Acad. Sci. Paris, Ser. I 336 (2003). [Copyright &y& Elsevier]
- Subjects :
- *VECTOR fields
*FOLIATIONS (Mathematics)
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 1631073X
- Volume :
- 336
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Comptes Rendus. Mathématique
- Publication Type :
- Academic Journal
- Accession number :
- 9601706
- Full Text :
- https://doi.org/10.1016/S1631-073X(03)00134-1