Freddy Dumortier

Canard cycles and center manifolds

Freddy Dumortier, Robert Roussarie · Memoirs of the American Mathematical Society · 1996 · 456 citations

Topological Property, Global Analysis, Global Geometry +1

Singularities of vector fields on the plane

Freddy Dumortier · Journal of Differential Equations · 1977 · 253 citations

Geometric Partial Differential Equation, Geometry, Global Analysis +2

Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3

Freddy Dumortier, Robert Roussarie, Jorge Sotomayor · Ergodic Theory and Dynamical Systems · 1987 · 222 citations · Full text

Schubert Calculus, Cusp Type, Geometry +8

Hilbert′s 16th Problem for Quadratic Vector Fields

Freddy Dumortier, Robert Roussarie, Christiane Rousseau · Journal of Differential Equations · 1994 · 122 citations

Real Algebraic Geometry, Finite Field, Geometry Of Number +1

Cubic Lienard equations with linear damping

Freddy Dumortier, Christiane Rousseau · Nonlinearity · 1990 · 121 citations

Limit Cycles, Affine Coordinate Change, Limit Cycle +9