Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 2, pp. 264-269
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A. Yu. Boldin; R. A. Sharipov. Multidimensional dynamical systems accepting the normal shift. Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 2, pp. 264-269. http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a8/
@article{TMF_1994_100_2_a8,
author = {A. Yu. Boldin and R. A. Sharipov},
title = {Multidimensional dynamical systems accepting the normal shift},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {264--269},
year = {1994},
volume = {100},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a8/}
}
TY - JOUR
AU - A. Yu. Boldin
AU - R. A. Sharipov
TI - Multidimensional dynamical systems accepting the normal shift
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1994
SP - 264
EP - 269
VL - 100
IS - 2
UR - http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a8/
LA - ru
ID - TMF_1994_100_2_a8
ER -
%0 Journal Article
%A A. Yu. Boldin
%A R. A. Sharipov
%T Multidimensional dynamical systems accepting the normal shift
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1994
%P 264-269
%V 100
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a8/
%G ru
%F TMF_1994_100_2_a8
Dynamical systems $\ddot {\mathbf r} = \mathbf F(\mathbf r, \dot {\mathbf r})$ in $\mathbb R^n$ accepting the normal shift of submanifolds of codimension 1 are considered. The concept of weak normality for them is introduced and the defining partial differential equations for the force field $\mathbf F(\mathbf r,\dot {\mathbf r})$ of the dynamical systems with the weak and complete normality are found.
