File:Canard cycles in generic slow-fast systems on the two-torus (AIMS2010).pdf
From Ilya Schurov hq
Canard_cycles_in_generic_slow-fast_systems_on_the_two-torus_(AIMS2010).pdf (file size: 602 KB, MIME type: application/pdf)
Slides for my conference talk at The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications.
Abstract: We show that there exist generic slow-fast systems with only one (time-scaling) parameter on the two-torus, which have attracting canard cycles for arbitrary small values of this parameter. This is in drastic contrast with the planar case, where canards usually occur in two-parametric families. The number of canard cycles is no more than the number of fold points of the slow curve. This estimate is exact for every system from some open set. The work is supported in part by RFBR 07-01-00017-a.
File history
Click on a date/time to view the file as it appeared at that time.
(Latest | Earliest) View (newer 50) (older 50) (20 | 50 | 100 | 250 | 500)| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 07:20, 26 May 2010 | No thumbnail | (602 KB) | Ilya Schurov (Talk | contribs) | (Slides for my conference talk at The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications. Abstract: We show that there exist generic slow-fast systems with only one (time-scaling) parameter on the two-torus, which have attra) |
- Edit this file using an external application (See the setup instructions for more information)
File links
There are no pages that link to this file.
