2 papers
math.DS2024
Real almost reducibility of differentiable real quasi-periodic cocycles
Maxime Chatal, Claire Chavaudret, L. Hakan Eliasson
We prove that infinitely differentiable almost reducible quasi-periodic cocycles, under a Diophantine condition on the frequency vector, are almost reducible to a sequence of real…
math.AP2016
KAM for the nonlinear beam equation
L. Hakan Eliasson, Benoît Grébert, Sergei B. Kuksin
In this paper we prove a KAM theorem for small-amplitude solutions of the non linear beam equation on the d-dimensional torus $$u_{tt}+Δ^2 u+m u + \partial_u G(x,u)=0\ ,\quad t\in…