Chaotic dynamics and nonlinear feedback control
Chaotic dynamics in a flexible exchange rate system: a study of noise effects.
Chaotic hypothesis and universal large deviations properties.
Chaotic time series analysis.
Chaotisches Verhalten in einfachen Systemen.
Characterization of chaos for continuous maps of the circle
Chord diagrams in the classification of Morse-Smale flows on 2-manifolds
Circle-valued Morse theory and Reidemeister torsion.
Classification des difféomorphismes de Smale des surfaces : types géométriques réalisables
La notion de type géométrique d’une partition de Markov est au centre de la classification des difféomorphismes de Smale i.e. des difféomorphismes - structurellement stables des surfaces. On résout ici le problème de réalisabilité : on donne un critère effectif pour décider si une combinatoire abstraite est, ou n’est pas, le type géométrique d’une partition de Markov de pièce basique de difféomorphisme de Smale de surface compacte.
Classification of positive solutions of -Laplace equation with a growth term
We give a structure result for the positive radial solutions of the following equation: with some monotonicity assumptions on the positive function . Here , ; we consider the case when , and . We continue the discussion started by Kawano et al. in [KYY], refining the estimates on the asymptotic behavior of Ground States with slow decay and we state the existence of S.G.S., giving also for them estimates on the asymptotic behavior, both as and as . We make use of a Emden-Fowler transform...
Closed geodesics, periods and arithmetic of modular forms.
Closed orbits in homology classes
Cohomologie bornée des surfaces et courants géodésiques
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.
Commuting expanding dynamics.
Complex one-frequency cocycles
We show that on a dense open set of analytic one-frequency complex valued cocycles in arbitrary dimension Oseledets filtration is either dominated or trivial. The underlying mechanism is different from that of the Bochi-Viana Theorem for continuous cocycles, which links non-domination with discontinuity of the Lyapunov exponent. Indeed, in our setting the Lyapunov exponents are shown to depend continuously on the cocycle, even if the initial irrational frequency is allowed to vary. On the other...
Complexity and Chaos Theory in Art
Comportement asymptotique des valeurs propres du laplacien sur un ouvert à bord fractal
Computation of the topological entropy in chaotic biophysical bursting models for excitable cells.