Asymptotic expansion of planar canard solutions near a non-generic turning point
| dc.creator | Forget, Thomas | |
| dc.date | 2008-12-11 | |
| dc.date.accessioned | 2026-07-07T12:12:05Z | |
| dc.date.available | 2026-07-07T12:12:05Z | |
| dc.description | This paper deals with the asymptotic study of the so-called canard solutions, which arise in the study of real singularly perturbed ODEs. Starting near an attracting branch of the "slow curve", those solutions are crossing a turning point before following for a while a repelling branch of the "slow curve". Assuming that the turning point is degenerate (or non-generic), we apply a correspondence presented in a recent paper. This application needs the definition of a family of functions $ϕ$ that is studied in a first part. Then, we use the correspondence is used to compute the asymptotic expansion in the powers of the small parameter for the canard solution. | |
| dc.identifier | https://arxiv.org/abs/0812.2226 | |
| dc.identifier | http://arxiv.org/abs/0812.2226 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/210429 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Optimization and Control | |
| dc.title | Asymptotic expansion of planar canard solutions near a non-generic turning point | |
| dc.type | text |