21–23 janv. 2026
Instituto Nazionale di Alta Matematica
Fuseau horaire Europe/Paris

Lyapunov unstable approximation of integrable Hamiltonians

23 janv. 2026, 10:20
50m
Conference Room of INdAM (Instituto Nazionale di Alta Matematica)

Conference Room of INdAM

Instituto Nazionale di Alta Matematica

Piazzale Aldo Moro 5, Roma

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.

Documents de présentation

Aucun document.