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How to characterize the language of ground normal forms
Term rewriting systems provide the computer scientists with a language to express functional definitions on complex domains. In such an area, we face the problem to... -
Normal form for travelling kinks in discrete Klein–Gordon lattices
We study travelling kinks in the spatial discretizations of the nonlinear Klein–Gordon equation, which include the discrete 4 lattice and the discrete sine-Gordon... -
Problems of linearization in some families of analytic germs.
We are interested in the linearization of some families of analytic germs. By generalizing definitions and properties of transfinite diameter, we obtain a polynomial... -
Propagation of Gevrey regularity over long times for the fully discrete Lie T...
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Quasihomogeneous analytic affine connections on surfaces
53A15; 53C23; 57S99 -
Analytic normal forms for convergent saddle-node vector fields
We give unique analytic "normal forms" for germs of a holomorphic vector field of the complex plane in the neighborhood of an isolated singularity of saddle-node type... -
Big denominators and analytic normal forms with an appendix by M. Zhitomirskii
We study the {\it regular} action of an analytic pseudo-group of transformations on the space of germs of various analytic objects of local analysis and local... -
Smooth Gevrey normal forms of vector fields near a fixed point
International audience -
Semi-toric integrable systems and moment polytopes
Semi-toric integrable systems are integrable systems whose every component of the moment map are periodic of the same period. They are symplectic manifolds endowed... -
An invitation tu quasihomogeneous rigid geometric structures
This is a survey article dealing with quasihomogeneous geometric structures, in the sense that they are locally homogeneous on a nontrivial open set, but not on all of... -
Normalization of holomorphic vector fields and implicit differential equations
The aim of the classical theory of normal forms is to simplify complicated problems by using regular changes of coordinates, in order to keep the dynamical... -
Automorphisms of open surfaces with irreducible boundary
International audience -
The Defocusing NLS Equation and Its Normal Form
International audience -
Decidable Approximations of Sets of Descendants and Sets of Normal forms
Colloque avec actes et comité de lecture. -
Ecalle's arborification-coarborification transforms and Connes-Kreimer Hopf a...
International audience
