Unbounded basins of attraction of limit cycles.
Une classe de systèmes dynamiques monotones génériquement Morse-Smale
Dans cet article, nous généralisons les résultats de Fusco et Oliva [8], qui ont montré la transversalité de l’intersection des variétés stable et instable associées à des orbites périodiques hyperboliques, pour un système dynamique de la forme (sur un ouvert de ) où est une matrice de Jacobi cyclique. Dans [8], cette propriété est obtenue en utilisant le nombre de changements de signe de qui est une fonctionnelle monotone le long des orbites. Tout d’abord, nous étendons ce résultat de transversalité...
Une propriété de transfert en approximation diophantienne
Une résolution élémentaire d'un problème de scission de séparatrices
Une version feuilletée équivariante du théorème de translation de Brouwer
The Brouwer’s plane translation theorem asserts that for a fixed point free orientation preserving homeomorphism f of the plane, every point belongs to a Brouwer line: a proper topological embedding C of R, disjoint from its image and separating f(C) and f–1(C). Suppose that f commutes with the elements of a discrete group G of orientation preserving homeomorphisms acting freely and properly on the plane. We will construct a G-invariant topological foliation of the plane by Brouwer lines. We apply...
Uniform exponential stability of linear almost periodic systems in Banach spaces.
Uniform (projective) hyperbolicity or no hyperbolicity : a dichotomy for generic conservative maps
Uniform pseudo-orbit tracing property for homeomorphisms and continuous mappings
We prove that for every nonempty compact manifold of nonzero dimension no self-homeomorphism and no continuous self-mapping has the uniform pseudo-orbit tracing property. Several relevant counterexamples for recently studied hypotheses are indicated.
Uniform stability and semi-stability of motions in dynamical systems on metric spaces
Some stability properties of motions in pseudo-dynamical systems and semi-systems are studied.
Uniformely distributed orbits of certain flows on homogeneous spaces.
Uniformization of the leaves of a rational vector field
We study the analytic structure of the leaves of a holomorphic foliation by curves on a compact complex manifold. We show that if every leaf is a hyperbolic surface then they can be simultaneously uniformized in a continuous manner. In case the manifold is complex projective space a sufficient condition is that there are no algebraic leaf.
Unimodular Lie foliations
Uniqueness of limit cycles bounded by two invariant parabolas
In this paper we consider a class of cubic polynomial systems with two invariant parabolas and prove in the parameter space the existence of neighborhoods such that in one the system has a unique limit cycle and in the other the system has at most three limit cycles, bounded by the invariant parabolas.
Universality and scaling in networks of period-doubling maps with a pacemaker.
Upper Estimate of Concentration and Thin Dimensions of Measures
We show upper estimates of the concentration and thin dimensions of measures invariant with respect to families of transformations. These estimates are proved under the assumption that the transformations have a squeezing property which is more general than the Lipschitz condition. These results are in the spirit of a paper by A. Lasota and J. Traple [Chaos Solitons Fractals 28 (2006)] and generalize the classical Moran formula.
Upper semicontinuity of attractors of non-autonomous dynamical systems for small perturbations.