Noise and dissipation in rigid body motion

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Title: Noise and dissipation in rigid body motion
Authors: Arnaudon, A
Castro, ALD
Holm, DD
Item Type: Working Paper
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.
Issue Date: 20-Jun-2016
Copyright Statement: © The Author(s) 2016
Keywords: math.DS
Publication Status: Published
Appears in Collections:Mathematics
Faculty of Natural Sciences

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