Robert Roussarie

Canard cycles and center manifolds

Freddy Dumortier, Robert Roussarie · Memoirs of the American Mathematical Society · 1996 · 466 citations

Natural Sciences, Mathematics, Topology +9

On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields

Robert Roussarie · Bulletin of the Brazilian Mathematical Society New Series · 1986 · 244 citations

Natural Sciences, Mathematics, Dynamical Systems +12

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 · 228 citations · Full text

Natural Sciences, Mathematics, Descriptive Geometry +9

Hilbert′s 16th Problem for Quadratic Vector Fields

Freddy Dumortier, Robert Roussarie, Christiane Rousseau · Journal of Differential Equations · 1994 · 127 citations

Natural Sciences, Mathematics, Physics +8

More limit cycles than expected in Liénard equations

Freddy Dumortier, Daniel Panazzolo, Robert Roussarie · Proceedings of the American Mathematical Society · 2007 · 102 citations · Full text

Natural Sciences, Mathematics, Physics +14