On a codimension three bifurcation
On some dynamical properties of S-unimodal maps on an interval
On the bifurcation set of complex polynomial with isolated singularities at infinity
On the dynamics of polynomial-like mappings
On the existence of a periodic solution of a nonlinear ordinary differential equation.
On the existence of chaotic behaviour of diffeomorphisms
For several specific mappings we show their chaotic behaviour by detecting the existence of their transversal homoclinic points. Our approach has an analytical feature based on the method of Lyapunov-Schmidt.
On the existence of homoclinic points
On the prescribed-period problem for autonomous Hamiltonian systems.
On the principle of stability of invariance of physical systems
Orbites Hétérocliniques au Voisinage d'une Bifurcation de Poincaré Dégénérée pour les Champs de Vecteurs de ...
Orbites périodiques de systèmes conservatifs
Orbites périodiques des systèmes hamiltoniens autonomes
Orbites périodiques des systèmes hamiltoniens du type de celui des trois corps