42 citations · 59 across the 4 of their papers we have counts for
4 papers
Jean-Christophe Yoccoz and the theory of circle diffeomorphisms
Hakan Eliasson, Bassam Fayad, Raphaël Krikorian
Our aim in this note is to present some of the crucial contributions of Jean-Christophe Yoccoz to the theory of circle diffeomorphisms. We start with a short historical account bef…
KAM for the non-linear Beam equation 2: A normal form theorem
L. Hakan Eliasson, Benoît Grèbert, Sergeï B. Kuksin
We prove an abstract KAM theorem adapted to space-multidimensional hamiltonian PDEs with regularizing nonlinearities. It applies in particular to the singular perturbation problem…
KAM for the nonlinear beam equation 1: small-amplitude solutions
Hakan L. Eliasson, Benoit Grebert, Sergei B. Kuksin
In this paper we prove a KAM result for the non linear beam equation on the d-dimensional torus $$u_{tt}+Δ^2 u+m u + g(x,u)=0\ ,\quad t\in { \mathbb{R}} , \; x\in {\mathbb T}^d, \q…
Around the stability of KAM-tori
Hakan Eliasson, Bassam Fayad, Raphaël Krikorian
We show that an analytic invariant torus $\cT_0$ with Diophantine frequency is never isolated due to the following alternative. If the Birkhoff normal form of the Hamiltonian…