6533b7d4fe1ef96bd1261cd7
RESEARCH PRODUCT
Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3
Jorge SotomayorFreddy DumortierRobert Roussariesubject
Cusp (singularity)Pure mathematicsNilpotentSingularitySolenoidal vector fieldApplied MathematicsGeneral MathematicsMathematical analysisVector fieldCodimensionSubmanifoldVector potentialMathematicsdescription
AbstractA cusp type germ of vector fields is a C∞ germ at 0∈ℝ2, whose 2-jet is C∞ conjugate toWe define a submanifold of codimension 5 in the space of germs consisting of germs of cusp type whose 4-jet is C0 equivalent toOur main result can be stated as follows: any local 3-parameter family in (0, 0) ∈ ℝ2 × ℝ3 cutting transversally in (0, 0) is fibre-C0 equivalent to
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1987-09-01 | Ergodic Theory and Dynamical Systems |