Paolo Politi — ISC-CNR Firenze #
Slow relaxation of breathers-like excitations #
Nonlinear systems may sustain localized, oscillating excitations. We focus on a deterministic, Hamiltonian system (the Discrete NonLinear Schroedinger Equation, DNLS) and a purely stochastic model which have the common feature to present two conservation laws
(the energy and the mass) and which display a similar phenomenology with varying the conserved quantities.
In particular, for large energy they are both characterized by breather-like excitations and both their dynamics are exponentially slow. These similarities should help to understand the origin of frozen dynamics displayed by DNLS equation.
In collaboration with:
Stefano Iubini (University of Florence),
Antonio Politi (University of Aberdeen, UK),
Liviu Chirondojan and Gian-Luca Oppo (University of Glasgow, UK)