One invariant measure and different Poisson brackets for two nonholonomic systems
Exactly Solvable and Integrable Systems
2015-05-28 v1 Dynamical Systems
Abstract
We discuss the nonholonomic Chaplygin and the Borisov-Mamaev-Fedorov systems, for which symplectic forms are different deformations of the square root from the corresponding invariant volume form. In both cases second Poisson bivectors are determined by -tensors with non-zero torsion on the configurational space, in contrast with the well known Eisenhart-Benenti and Turiel constructions.
Keywords
Cite
@article{arxiv.1106.1952,
title = {One invariant measure and different Poisson brackets for two nonholonomic systems},
author = {A. V. Tsiganov},
journal= {arXiv preprint arXiv:1106.1952},
year = {2015}
}
Comments
18 pages, LaTeX with AMSfonts