Geodesic
The problem of metrizability of dynamical systems that admit normal shift
Teoretičeskaâ i matematičeskaâ fizika, Tome 101 (1994) no. 1, pp. 85-93

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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 $\partial _{tt}\mathbf r=\mathbf F(\mathbf r,\partial _t\mathbf r)$ is found. 
@article{TMF_1994_101_1_a7,
     author = {R. A. Sharipov},
     title = {The problem of metrizability of dynamical systems that admit normal shift},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {85--93},
     publisher = {mathdoc},
     volume = {101},
     number = {1},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_101_1_a7/}
}
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R. A. Sharipov. The problem of metrizability of dynamical systems that admit normal shift. Teoretičeskaâ i matematičeskaâ fizika, Tome 101 (1994) no. 1, pp. 85-93. http://geodesic.mathdoc.fr/item/TMF_1994_101_1_a7/