Anosov Flows on New Three Manifolds.
Applications of Nielsen theory to dynamics
In this talk, we shall look at the application of Nielsen theory to certain questions concerning the "homotopy minimum" or "homotopy stability" of periodic orbits under deformations of the dynamical system. These applications are mainly to the dynamics of surface homeomorphisms, where the geometry and algebra involved are both accessible.
Approximation des ensembles ω-limites des difféomorphismes par des orbites périodiques
Area and Hausdorff dimension of the set of accessible points of the Julia sets of λe^z and λ sin(z)
Area preserving group actions on surfaces.
Area preserving homeomorphisms of open surfaces of genus zero.
Arithmetic and growth of periodic orbits.
Asymmetric bound states of differential equations in nonlinear optics
Asymptotic behaviors of complex analytic dynamical systems.
Asymptotic flag of an orientable measured foliation
Asymptotic period in dynamical systems in metric spaces
We introduce the notions of asymptotic period and asymptotically periodic orbits in metric spaces. We study some properties of these notions and their connections with ω-limit sets. We also discuss the notion of growth rate of such orbits and describe its properties in an extreme case.
Asymptotic properties of the Dulac map near a hyperbolic saddle in dimension three
Asymptotic stability for perturbed hamiltonian systems, II
Asymptotic stability of dynamical systems with multiplicative perturbations
Attracteurs, orbites et ergodicité
Attracting domains for semi-attractive transformations of Cp.
Let F be a germ of analytic transformation of (Cp, 0). We say that F is semi-attractive at the origin, if F'(0) has one eigenvalue equal to 1 and if the other ones are of modulus strictly less than 1. The main result is: either there exists a curve of fixed points, or F - Id has multiplicity k and there exists a domain of attraction with k - 1 petals. We also study the case where F is a global isomorphism of C2 and F - Id has multiplicity k at the origin. This work has been inspired by two papers:...
Attracting dynamics of exponential maps.
Attractor for a Navier-Stokes flow in an unbounded domain
Attractors and time averages for random maps
Attractors for maps with fractional inverse.