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math.DS2016
Noise and dissipation in rigid body motion
Alexis Arnaudon, Alex L. De Castro, Darryl D. Holm
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 struc…
math.DS2016★ 39 cited
Noise and dissipation on coadjoint orbits
Alexis Arnaudon, Alex L. Castro, Darryl D. Holm
We derive and study stochastic dissipative dynamics on coadjoint orbits by incorporating noise and dissipation into mechanical systems arising from the theory of reduction by symme…