Bifurcations and Periodic Orbits of Vector Fields

Chapter 1 Complex Foliations Arising from Polynomial Differential Equations

Chapter 2 Techniques in the Theory of Local Bifurcations: Blow-Up, Normal Forms, Nilpotent Bifurcations, Singular Perturbations

Chapter 3 Six Lectures on Transseries, Analysable Functions and the Constructive Proof of Dulac’s Conjecture

Chapter 4 Knots and Orbit Genealogies in Three Dimensional Flows

Chapter 5 Dynamical Systems: Some Computational Problems

Chapter 7 Singularités d’équations différentielles holomorphes en dimension deux

Chapter 8 Techniques in the Theory of Local Bifurcations: Cyclicity and Desingularization

Chapter 9 Bifurcation Methods in Polynomial Systems

Chapter 10 Algebraic and Geometric Aspects of the Theory of Polynomial Vector Fields