Noise and dissipation in rigid body motion
Dynamical Systems
2016-06-22 v1 Chaotic Dynamics
Abstract
Using the rigid body as an example, we illustrate some features of stochastic geometric mechanics. These features include: i) a geometric variational motivation for the noise structure involving Lie-Poisson brackets and momentum maps, ii) stochastic coadjoint motion with double bracket dissipation, iii) the Lie-Poisson Fokker-Planck description and its stationary solutions, iv) random dynamical systems, random attractors and SRB measures connected to statistical physics.
Cite
@article{arxiv.1606.06308,
title = {Noise and dissipation in rigid body motion},
author = {Alexis Arnaudon and Alex L. De Castro and Darryl D. Holm},
journal= {arXiv preprint arXiv:1606.06308},
year = {2016}
}