Convergence versus integrability in Poincare-Dulac normal form
| dc.creator | Zung, Nguyen Tien | |
| dc.date | 2001-05-23 | |
| dc.date | 2002-03-13 | |
| dc.date.accessioned | 2026-07-07T04:41:50Z | |
| dc.date.available | 2026-07-07T04:41:50Z | |
| dc.description | We show that, to find a Poincare-Dulac normalization for a vector field is the same as to find and linearize a torus action which preserves the vector field. Using this toric characterization and other geometrical arguments, we prove that any local analytic vector field which is integrable in the non-Hamiltonian sense admits a local convergent Poincare-Dulac normalization. These results generalize the main results of our previous paper from the Hamiltonian case to the non-Hamiltonian case. Similar results are presented for the case of isochore vector fields. | |
| dc.description | 2nd version, substantial revision, new title | |
| dc.identifier | https://arxiv.org/abs/math/0105193 | |
| dc.identifier | http://arxiv.org/abs/math/0105193 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61522 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Mathematical Physics | |
| dc.subject | 37G05, 70K45, 34C14, 70GXX | |
| dc.title | Convergence versus integrability in Poincare-Dulac normal form | |
| dc.type | text |