Coassociative grammar, periodic orbits, and quantum random walk over .
Codages de rotations et phénomènes d'autosimilarité
Nous étudions une classe de suites symboliques, les codages de rotations, intervenant dans des problèmes de répartition des suites et représentant une généralisation géométrique des suites sturmiennes. Nous montrons que ces suites peuvent être obtenues par itération de quatre substitutions définies sur un alphabet à trois lettres, puis en appliquant un morphisme de projection. L’ordre d’itération de ces applications est gouverné par un développement bi-dimensionnel de type “fraction continue”...
Codimension 4 singularities on reflectionally symmetryc planar vector fields.
The paper deals with the topological classification of singularities of vector fields on the plane which are invariant under reflection with respect to a line. As it has been proved in previous papers, such a classification is necessary to determine the different topological types of singularities of vector fiels on R3 whose linear part is invariant under rotations. To get the classification we use normal form theory and the the blowing-up method.
Codimension one symplectic foliations.
We define the concept of symplectic foliation on a symplectic manifold and provide a method of constructing many examples, by using asymptotically holomorphic techniques.
Coexisting cycles in a class of 3-D discrete maps
In this paper we consider the class of three-dimensional discrete maps M (x, y, z) = [φ(y), φ(z), φ(x)], where φ : ℝ → ℝ is an endomorphism. We show that all the cycles of the 3-D map M can be obtained by those of φ(x), as well as their local bifurcations. In particular we obtain that any local bifurcation is of co-dimension 3, that is three eigenvalues cross simultaneously the unit circle. As the map M exhibits coexistence...
Cognition: Differential-geometrical view on neural networks.
Coherent orientations for periodic orbit problems in symplectic geometry.
Cohomological approach to Poisson structures on nonlinear evolution equations.
Cohomologically rigid vector fields : the Katok conjecture in dimension 3
Cohomologie 3-différentiable de l'algèbre de Poisson d'une variété symplectique
On étudie la cohomologie de Chevalley de la représentation adjointe de l’algèbre de Poisson d’une variété symplectique. On obtient en particulier une description explicite de la cohomologie des cochaînes 2 et 3-différentiables.
Cohomologie bornée des surfaces et courants géodésiques
Cohomology and Morse theory for strongly indefinite functionals.
Cohomology of Symplectomorphism Groups and Critical Values of Hamiltonians.
Cohomology rings of symplectic quotients.
Coincidence for substitutions of Pisot type
Let be a substitution of Pisot type on the alphabet ; satisfies thestrong coincidence conditionif for every , there are integers such that and have the same -th letter, and the prefixes of length of and have the same image under the abelianization map. We prove that the strong coincidence condition is satisfied if and provide a partial result for .
Coisotropic bundles and induced representations
Coisotropic varieties and their generating families
Collective geodesic flows
We show that most compact semi-simple Lie groups carry many left invariant metrics with positive topological entropy. We also show that many homogeneous spaces admit collective Riemannian metrics arbitrarily close to the bi-invariant metric and whose geodesic flow has positive topological entropy. Other properties of collective geodesic flows are also discussed.
Collision Orbits in the Anisotropic Kepler Problem.
Coloring Algorithms for Dynamical Systems in the Complex Plane