Smooth normal forms for integrable hamiltonian systems near a focus-focus singularity

These include a large part of the material concerning the numerical analysis of Markovian queueing models, where the idea is to numerically solve the Kolmogorov differential

By construction, this function Ψ p is smooth (or real analytic) if ψ p is smooth (or real analytic) and depends smoothly or analytically on the parameters if ψ p does so.. After

In this paper we are concerned with the normal form of a completely integrable Hamiltonian system near an equilibrium point.. hn are

The numerical method considered in this paper relies on a grid discretization of the potential function in the phase-space: the idea is to convert the initial problem into a sequence

Herman had obtained by such a method a first version of the stability result, but without being able to reach the exponents (1.2) of Theorem A; this is why we’ll have to make do

This foliation plus Sing(<o) will be called the singular foliation of co. A natural problem to consider is the search for a significant class of integrable i-forms co for which

The above theorem does not hold if we suppose W to be only an .Fo -normal additive automorphic function of the first kind, that is, we omit the condition of

Pour améliorer l’accès aux soins, 18 structures de soins, appelées  Centres délocalisés de préven- tion et  de soins (CDPS), sont installées dans les communes isolées de