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.
Dédoublement de courbes invariantes sur le cylindre : petits diviseurs
Dépendance continue par rapport aux paramètres dans la bifurcation de Hopf-Takens de codimension 3
Différentiabilité des conjugaisons entre systèmes dynamiques de dimension 1
Si deux systèmes dynamiques de dimension 1 et de classe sont -conjugués, dans quelles conditions sont-ils -conjugués ? Par “système dynamique de dimension 1”, nous entendons ici un feuilletage de codimension 1 ou une application du cercle dans lui-même. Nous donnons des conditions très faibles pour que la réponse à la question précédente soit positive.
D+-Stable Dynamical Systems on 2-Manifolds.
Effective computation of the first Lyapunov quantities for a planar differential equation
We take advantage of the complex structure to compute in a short way and without using any computer algebra system the Lyapunov quantities and for a general smooth planar system.
Endogenous instability in credit-constrained emerging economies with Leontief technology.
Exemples de fractions rationnelles ayant une orbite dense sur la sphère de Riemann
Extended dynamical systems.
Feigenbaum numbers of certain flat-top families.
Final forms for a three-dimensional vector field under blowing-up
We study the final situations which may be obtained for a singular vector field by permissible blowing-ups of the ambient space (in dimension three). These situations are preserved by permissible blowing-ups and its structure is simple from the view-point of the integral branches. Technically, we take a logarithmic approach, by marking in each step the exceptional divisor of the transformation.
Finitely Determined Singularities of Formal Vector Fields.
Flows on supporting all links as orbits.
Flows with cyclic winding numbers groups.
From the theorem of Ważewski to computer assisted proofs in dynamics
Generalized Cohomological Index Theories for Lie Group Actions with an Application to Bifurcation Questions for Hamiltonian Systems.
Generic Bifurcations of Varieties.
Geodesics on S2 and periodic points of annulus homeomorphisms.