6533b861fe1ef96bd12c4d9f
RESEARCH PRODUCT
Multi-layer canard cycles and translated power functions
Robert RoussarieFreddy Dumortiersubject
Mathematics::Dynamical SystemsLiénard equationCanard cycleQuantitative Biology::Neurons and CognitionApplied MathematicsMathematical analysisCodimensionSlow-fast systemFixed pointCombinatoricsIterated functionLiénard equationBifurcationLimit (mathematics)Power functionMulti layerBifurcationAnalysisMathematicsdescription
Abstract The paper deals with two-dimensional slow-fast systems and more specifically with multi-layer canard cycles. These are canard cycles passing through n layers of fast orbits, with n ⩾ 2 . The canard cycles are subject to n generic breaking mechanisms and we study the limit cycles that can be perturbed from the generic canard cycles of codimension n . We prove that this study can be reduced to the investigation of the fixed points of iterated translated power functions.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-03-01 | Journal of Differential Equations |