Factors and Extensions of Full Shifts.
Feuilles compactes d’un feuilletage générique en codimension
Feuilletages géodésiques appliqués.
Feuilletages Proches d'une Fibration. / C. Bonatti.
Feuilletages transversalement projectifs sur les variétés de Seifert
Soit une variété de Seifert de groupe fondamental non virtuellement résoluble. Soit un feuilletage de dimension sur , muni d’une structure projective réelle transverse. On suppose que satisfait la propriété de relèvement des chemins, i.e., que l’espace des feuilles du relèvement de dans le revêtement universel de est séparé au sens de Hausdorff. On montre qu’à revêtements finis près, est soit une fibration projective, soit un feuilletage géodésique convexe, soit un feuilletage horocyclique...
Fibration of the phase space for the Korteweg-de Vries equation
In this article we prove that the fibration of by potentials which are isospectral for the 1-dimensional periodic Schrödinger equation, is trivial. This result can be applied, in particular, to -gap solutions of the Korteweg-de Vries equation (KdV) on the circle: one shows that KdV, a completely integrable Hamiltonian system, has global action-angle variables.
Fields of tangent sets and Hofmann cones.
Finite dimensional behavior for weakly damped driven Schrödinger equations
Fixed points of discrete nilpotent group actions on
We prove that for each integer there is an open neighborhood of the identity map of the 2-sphere , in topology such that: if is a nilpotent subgroup of with length of nilpotency, generated by elements in , then the natural -action on has nonempty fixed point set. Moreover, the -action has at least two fixed points if the action has a finite nontrivial orbit.
Fixed points of log-linear discrete dynamics.
Fixed points of two-sided fractional matrix transformations.
Fixed points, periodic points, and coin-tossing sequences for mappings defined on two-dimensional cells.
Flots d'Anosov à distributions de Liapounov différentiables. I
Flots d'Anosov dont les feuilletages stables sont différentiables
Flots transversalement affines et tissus feuilletés
Flow equivalence, hyperbolic systems and a new zeta function for flows.
Flow invariance for perturbed nonlinear evolution equations.
Flow under curvature: Singularity formation, minimal surfaces, and geodesics.
Flows and diffeomorphisms.
Flows near compact invariant sets. Part I
It is proved that near a compact, invariant, proper subset of a C⁰ flow on a locally compact, connected metric space, at least one, out of twenty eight relevant dynamical phenomena, will necessarily occur. Theorem 1 shows that the connectedness of the phase space implies the existence of a considerably deeper classification of topological flow behaviour in the vicinity of compact invariant sets than that described in the classical theorems of Ura-Kimura and Bhatia. The proposed classification brings...