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Geometric Analysis of Noisy Perturbations to Nonholonomic Constraints by Gay-Balmaz, François; Putkaradze, Vakhtang is a scholarly article available to read on EtoBox.

What is Geometric Analysis of Noisy Perturbations to Nonholonomic Constraints about?

We propose two types of stochastic extensions of nonholonomic constraints for mechanical systems. Our approach relies on a stochastic extension of the Lagrange-d'Alembert framework. We consider in details the case of invariant nonholonomic systems on the group of rotations and on the special Euclidean group. Based on this, we then develop two types of stochastic deformations of the Suslov problem and study the possibility of extending to the stochastic case the preservation of some of its integrals of motion such as the Kharlamova or Clebsch-Tisserand integrals.

Author

Gay-Balmaz, François; Putkaradze, Vakhtang

Published

2017

Language

EN