METASTABLE STATES FOR WEAKLY DAMPED HAMILTONIAN SYSTEMS

09.11.2017 14:00 – 15:00

Metastable motions are believed to inhibit the transport of energy
through Hamiltonian, or nearly Hamiltonian, systems with
many degrees of freedom. We investigate this question in a very
simple model (discrete nonlinear Schroedinger equation)
in which the breather solutions that are responsible for
the metastable states can be computed perturbatively to an arbitrary order. Then, using a modulation hypothesis,
we derive estimates for the rate at which the system drifts along
a manifold of periodic orbits and verify the optimality of our
estimates numerically.

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Bâtiment: Ecole de Physique

Salle 234

entrée libre