Noise-induced clustering in Hamiltonian systems
Chaotic Dynamics
2011-11-10 v1 Atmospheric and Oceanic Physics
Abstract
The motion of oscillatory-like nonlinear Hamiltonian systems, driven by a weak noise, is considered. A general method to find regions of stability in the phase space of a randomly-driven system, based on a specific Poincar\'e map, is proposed and justified. Physical manifestations of these regions of stability, the so-called coherent clusters, are demonstrated with two models in ocean physics. We find bunches of sound rays propagating coherently in an underwater waveguide through a randomly fluctuating ocean at long distances. We find clusters of passive particles to be advected coherently by a random two-dimensional flow modelling mixing around a topographic eddy in the ocean.
Cite
@article{arxiv.nlin/0507010,
title = {Noise-induced clustering in Hamiltonian systems},
author = {D. V. Makarov and M. Yu. Uleysky and M. V Budyansky and S. V. Prants},
journal= {arXiv preprint arXiv:nlin/0507010},
year = {2011}
}