Orateur
Jaime Paradela
(University of Maryland)
Description
We prove that any real-analytic Hamiltonian with a locally integrable, non-degenerate and not locally convex elliptic equilibrium, can be perturbed within the real analytic category, while keeping the Birkhoff normal form at the equilibrium unchanged up to any arbitrary order, so that the equilibrium becomes Lyapunov unstable.
Joint work with B. Fayad, M. Saprykina and T.M. Seara.