6533b833fe1ef96bd129c04d
RESEARCH PRODUCT
Canard-cycle transition at a fast–fast passage through a jump point
Peter De MaesschalckRobert RoussarieFreddy Dumortiersubject
Mechanism (engineering)Mathematics::Dynamical SystemsQuantitative Biology::Neurons and CognitionControl theoryTransition (fiction)Mathematical analysisJumpPeriodic orbitsPoint (geometry)General MedicineMathematicsdescription
Abstract We consider transitory canard cycles that consist of a generic breaking mechanism, i.e. a Hopf or a jump breaking mechanism, in combination with a fast–fast passage through a jump point. Such cycle separates two types of canard cycles with a different shape. We obtain upper bounds on the number of periodic orbits that can appear near the canard cycle, and this under very general conditions.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-01-01 | Comptes Rendus Mathematique |