Bifurcations and stability of families of diffeomorphisms
Bifurcations de points fixes elliptiques
Bifurcations de points fixes elliptiques - I. Courbes invariantes
Bifurcations de points fixes elliptiques. II. Orbites périodiques et ensembles de Cantor invariants.
Bifurcations de points fixes elliptiques - III. Orbites périodiques de «petites» périodes et élimination résonnante des couples de courbes invariantes
Bifurcations de polycycles infinis pour les champs de vecteurs polynomiaux du plan
Bifurcations élémentaires et transition
Bifurcations in One Dimension. I. The Nonwandering Set.
Bifurcations in One Dimension. II. A Versal Model for Bifurcations.
Bifurcations in the two imaginary centers problem
In this paper we show that, for a given value of the energy, there is a bifurcation for the two imaginary centers problem. For this value not only the configuration of the orbits changes but also a change in the topology of the phase space occurs.
Bifurcations near a double eigenvalue of the rectangular plate problem with a domain parametr
Bifurkácie negradientných dynamických systémov
Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian Systems with convex Hamiltonians.
Branching of periodic orbits from Kukles isochrones.
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.