Darboux transformation for classical acoustic spectral problem.
Darboux transformation for the nonstationary Schrödinger equation.
d...-Cohomology of Lagrangian Foliations.
Decay of correlations for non Hölderian dynamics. A coupling approach.
Decay of correlations for nonuniformly expanding systems
We estimate the speed of decay of correlations for general nonuniformly expanding dynamical systems, using estimates on the time the system takes to become really expanding. Our method can deal with fast decays, such as exponential or stretched exponential. We prove in particular that the correlations of the Alves-Viana map decay in .
Decay of correlations in one-dimensional dynamics
Decay of geometry for Fibonacci critical covering maps of the circle
Decay of volumes under iteration of meromorphic mappings
Let be a meromorphic self-mapping of a compact Kähler manifold. We study the rate of decreasing of volumes under the iteration of . We use these volume estimates to construct the Green current of in a quite general setting.
Decentralized output regulation of large scale nonlinear systems with delay
This paper deals with output regulation of a class of large-scale nonlinear systems with delays. Each of the subsystems is in the output feedback form, with nonlinear functions of the subsystem output and the outputs of other subsystems. The system outputs are subject to unknown constant delays. Both the system dynamics and the measurements are subject to unknown disturbances generated from unknown linear exosystems. Decentralized control design approach is adopted to design local controllers using...
Decision Making in Reverse Logistics Using System Dynamics
Décomposition des difféomorphismes du tore en applications déviant la verticale (avec un appendice en collaboration avec Jean-Marc Gambaudo)
Décompositions en cascades des systèmes automatiques et feuilletages invariants
Decompositions of Factor Maps Involving Bi-closing Maps.
Dédoublement de courbes invariantes sur le cylindre : petits diviseurs
Defining complete and observable chaos
For a continuous map f from a real compact interval I into itself, we consider the set C(f) of points (x,y) ∈ I² for which and . We prove that if C(f) has full Lebesgue measure then it is residual, but the converse may not hold. Also, if λ² denotes the Lebesgue measure on the square and Ch(f) is the set of points (x,y) ∈ C(f) for which neither x nor y are asymptotically periodic, we show that λ²(C(f)) > 0 need not imply λ²(Ch(f)) > 0. We use these results to propose some plausible definitions...
Déformation J-équivalente de polynômes géometriquement finis
Any geometrically finite polynomial f of degree d ≥ 2 with connected Julia set is accessible by structurally stable sub-hyperbolic polynomials of the same degree. Moreover, they are topologically conjugate to f on their Julia sets.
Déformations de flots d'Anosov et de groupes fuchsiens
Nous étudions les flots d’Anosov sur les variétés compactes de dimension 3 pour lesquels les distributions stable et instable faibles sont de classe . Nous classons tous ces flots lorsqu’ils préservent le volume puis nous construisons une famille d’exemples qui ne préservent pas le volume. Nous classons aussi ces flots sous une hypothèse de “pincement”. En application, nous décrivons les déformations des groupes fuchsiens dans le groupe des difféomorphismes du cercle.
Déformations des structures complexes sur les espaces homogènes de SL (2, ...).
Deformations of holomorphic foliations having a meromorphic first integral.
Deformations of Kähler manifolds with nonvanishing holomorphic vector fields
We study compact Kähler manifolds admitting nonvanishing holomorphic vector fields, extending the classical birational classification of projective varieties with tangent vector fields to a classification modulo deformation in the Kähler case, and biholomorphic in the projective case. We introduce and analyze a new class of , and show that they form a smooth subspace in the Kuranishi space of deformations of the complex structure of . We extend Calabi’s theorem on the structure of compact Kähler...