刚体运动中的噪声和耗散
Noise and dissipation in rigid body motion
摘要：
以刚体为例，说明了随机几何力学的一些特点。这些功能包括：i）包含泊松括号和动量映射的噪声结构的几何变分动机，ii）具有双括号耗散的随机余伴随运动，iii）Lie-Poisson Fokker-Planck描述及其定态解，iv）随机动力系统、随机吸引子和与统计物理相关的SRB测度。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
