Geometry of non-holonomic diffusion

DOI10.4171/JEMS/504zbMath1317.37064arXiv1204.6438MaRDI QIDQ2019197

Simon Hochgerner, Tudor S. Ratiu

Publication date: 27 March 2015

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.6438

zbMATH Keywords

diffusionBrownian motionstochastic dynamicsChaplygin systemnon-holonomic system

Mathematics Subject Classification ID

Automated systems (robots, etc.) in control theory (93C85) Control of mechanical systems (70Q05) Optimal stochastic control (93E20) Robot dynamics and control of rigid bodies (70E60) Diffusion processes and stochastic analysis on manifolds (58J65) Constrained dynamics, Dirac's theory of constraints (70H45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Nonholonomic dynamical systems (37J60)

Related Items (8)

Dynamics of geodesic flows with random forcing on Lie groups with left-invariant metrics ⋮ Dynamics of non-holonomic systems with stochastic transport ⋮ Momentum maps and stochastic Clebsch action principles ⋮ Reduction and reconstruction of stochastic differential equations via symmetries ⋮ On noisy extensions of nonholonomic constraints ⋮ Stochastic Chaplygin systems ⋮ Symmetry actuated closed-loop Hamiltonian systems ⋮ Stochastic variational principles for dissipative equations with advected quantities

Cites Work

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• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• Constant-Curvature Motion Planning Under Uncertainty with Applications in Image-Guided Medical Needle Steering

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