Problem of Metrizability for the Dynamical Systems Accepting the Normal Shift
solv-int
2009-10-28 v1 Exactly Solvable and Integrable Systems
Abstract
The problem of metrizability for the dynamical systems accepting the normal shift is formulated and solved. The explicit formula for the force field of metrizable Newtonian dynamical system \ddot\bold r=\bold F(\bold r,\dot\bold r) is found.
Cite
@article{arxiv.solv-int/9404003,
title = {Problem of Metrizability for the Dynamical Systems Accepting the Normal Shift},
author = {R. A. Sharipov},
journal= {arXiv preprint arXiv:solv-int/9404003},
year = {2009}
}
Comments
8 pages (26 Kbytes), AmS-TeX, version 2.1. To be published in Theor. and Math. Phys. (Russian)