Problem of Metrizability for the Dynamical Systems Accepting the Normal Shift

Details Problem of Metrizability for the Dynamical Systems Accepting the Normal Shift Problem of Metrizability for the Dynamical Systems Accepting the Normal Shift

1993-04-18

arxiv.org/abs/solv-int/9404003v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

8 pages (26 Kbytes), AmS-TeX, version 2.1. To be published in Theor. and Math. Phys. (Russian)

Scientific paper

10.1007/BF01079259

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.

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