4 papers
Diffusion of Power in Randomly Perturbed Hamiltonian Partial Differential Equations
E. Kirr, M. I. Weinstein
We study the evolution of the energy (mode-power) distribution for a class of randomly perturbed Hamiltonian partial differential equations and derive {\it master equations} for th…
Breathers on a Background: Periodic and Quasiperiodic Solutions of Extended Discrete Nonlinear Wave Systems
P. G. Kevrekidis, M. I. Weinstein
In this paper we investigate the emergence of time-periodic and and time-quasiperiodic (sometimes infinitely long lived and sometimes very long lived or metastable) solutions of di…
Strong NLS Soliton-Defect Interactions
R. H. Goodman, P. J. Holmes, M. I. Weinstein
We consider the interaction of a nonlinear Schrodinger soliton with a localized (point) defect in the medium through which it travels. Using numerical simulations, we find paramete…
Gyroscopic Classical and Quantum Oscillators interacting with Heat Baths
Anthony M. Bloch, Patrick Hagerty, Alberto G. Rojo +1
We analyze the stability of a gyroscopic oscillator interacting with a finite- and infinite-dimensional heat bath in both the classical and quantum cases. We consider a finite gyro…