The Hojman Construction and Hamiltonization of Nonholonomic Systems
Exactly Solvable and Integrable Systems
2016-02-02 v4
Abstract
In this paper, using the Hojman construction, we give examples of various Poisson brackets which differ from those which are usually analyzed in Hamiltonian mechanics. They possess a nonmaximal rank, and in the general case an invariant measure and Casimir functions can be globally absent for them.
Keywords
Cite
@article{arxiv.1510.00181,
title = {The Hojman Construction and Hamiltonization of Nonholonomic Systems},
author = {Ivan A. Bizyaev and Alexey V. Borisov and Ivan S. Mamaev},
journal= {arXiv preprint arXiv:1510.00181},
year = {2016}
}