Closed orbits of fixed energy for a class of N-body problems
Collision Orbits in the Anisotropic Kepler Problem.
Combining stability with symmetry properties in bifurcation problems
Construction of 0-1 matrices associated to period-doubling processes.
We elaborate a method allowing the determination of 0-1 matrices corresponding to dynamics of the interval having stable, 2k-periodic orbits, k belonging to N. By recurrence on the finite dimensional matrices, we establish the form of the infinite matrices (k --> ∞).
Contraintes génériques en géométrie de contact
Convergence results for periodic solutions of nonautonomous Hamiltonian systems
We prove some stability results for a certain class of periodic solutions of nonautonomous Hamiltonian systems in the case of Hamiltonian functions either with subquadratic growth or homogeneous with superquadratic growth. Thus we extend to the nonautonomous case some results recently established by the Authors for the autonomous case.
Création de points périodiques de tous types au voisinage des tores K.A.M.
Critical point theory and nonlinear differential equations
Cycles and measure of bifurcation sets for two-dimensional diffeomorphisms.