Analytical moduli for unfoldings of saddle-node vector fields
| dc.creator | Rousseau, Christiane | |
| dc.creator | Teyssier, Loïc | |
| dc.date | 2007-02-08 | |
| dc.date | 2007-09-03 | |
| dc.date.accessioned | 2026-07-07T08:27:01Z | |
| dc.date.available | 2026-07-07T08:27:01Z | |
| dc.description | In this paper we consider germs of k-parameter generic families of analytic 2-dimensional vector fields unfolding a saddle-node of codimension k and we give a complete modulus of analytic classification under orbital equivalence and a complete modulus of analytic classification under conjugacy. The modulus is an unfolding of the corresponding modulus for the vector field with the saddle-node. The point of view is to compare the family with a "model family" via an equivalence (conjugacy) over canonical sectors. This is done by studying the asymptotic homology of the leaves and its consequences for solutions of the cohomological equation. | |
| dc.description | 58 pages | |
| dc.identifier | https://arxiv.org/abs/math/0702214 | |
| dc.identifier | http://arxiv.org/abs/math/0702214 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137139 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 4A20, 34A26, 34C20 | |
| dc.title | Analytical moduli for unfoldings of saddle-node vector fields | |
| dc.type | text |