On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich
Exactly Solvable and Integrable Systems
2021-05-28 v1 Mathematical Physics
Dynamical Systems
math.MP
Abstract
In 1913 A.D. Bilimovich observed that rheonomic linear and homogeneous in generalized velocities constraints are ideal. As a typical example, he considered rheonomic nonholonomic deformation of the Euler equations which scleronomic version is equivalent to the nonholonomic Suslov system. For the Bilimovich system equations of motion are reduced to quadrature, which is discussed in rheonomic and scleronomic cases.
Cite
@article{arxiv.2002.07670,
title = {On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich},
author = {A. V. Borisov and A. V. Tsiganov},
journal= {arXiv preprint arXiv:2002.07670},
year = {2021}
}
Comments
LaTeX with AMS fonts, 11 pages, 5 figures