Bassam Fayad: On stability of elliptic fixed points and tori in Hamiltonian dynamics

Time: Wed 2017-11-15 13.15

Lecturer: Bassam Fayad, CNRS, IMJ-PRG

Location: F11

We discuss the stability (or instability) of an equilibrium in Hamiltonian dynamics from various points of view: the classical Lyapunov stability or topological stability, the stability from a probabilistic point of view addressed by KAM theory, or the effective stability that measures the time spent by solutions that start close to the equilibrium in a neighborhood of the equilibrium.

This is an analysis colloquium style talk.

Belongs to: Department of Mathematics
Last changed: Nov 13, 2017