Noise-induced clustering in Hamiltonian systems

Details Noise-induced clustering in Hamiltonian systems Noise-induced clustering in Hamiltonian systems

2005-07-07

arxiv.org/abs/nlin/0507010v1

D.V. Makarov, M.Yu. Uleysky, M.V Budyansky, and S.V. Prants. Clustering in randomly-driven Hamiltonian systems. Physical Revie

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Noise-induced clustering in Hamiltonian systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Noise-induced clustering in Hamiltonian systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noise-induced clustering in Hamiltonian systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-480798