Speaker: Jean-Pierre Eckmann
Title: Breathers as Metastable States for the Discrete NLS equation
Anstract:
I will describe work with C.E.Wayne in which we study how dissipation
leads to a very slow drift in secular parameters for the Non-linear
Schroedinger equation. The nice thing about this model is that one can
describe a relatively complex phenomenon in almost explicit terms as a
perturbation from an integrable Hamiltonian system. This can be viewed as
an explicit example of the anti-integrable limits of MacKay and Aubry,
with dissipation added.