Theoretical and applied mechanics, Tome 8 (1982) no. 1, p. 133
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Ya. Tatarinov. Approximate form of reachable sets after perturbation of Liouville systems. Theoretical and applied mechanics, Tome 8 (1982) no. 1, p. 133 . http://geodesic.mathdoc.fr/item/TAM_1982_8_1_a15/
@article{TAM_1982_8_1_a15,
author = {Ya. Tatarinov},
title = {Approximate form of reachable sets after perturbation of {Liouville} systems},
journal = {Theoretical and applied mechanics},
pages = {133 },
year = {1982},
volume = {8},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAM_1982_8_1_a15/}
}
TY - JOUR
AU - Ya. Tatarinov
TI - Approximate form of reachable sets after perturbation of Liouville systems
JO - Theoretical and applied mechanics
PY - 1982
SP - 133
VL - 8
IS - 1
UR - http://geodesic.mathdoc.fr/item/TAM_1982_8_1_a15/
LA - en
ID - TAM_1982_8_1_a15
ER -
%0 Journal Article
%A Ya. Tatarinov
%T Approximate form of reachable sets after perturbation of Liouville systems
%J Theoretical and applied mechanics
%D 1982
%P 133
%V 8
%N 1
%U http://geodesic.mathdoc.fr/item/TAM_1982_8_1_a15/
%G en
%F TAM_1982_8_1_a15
It is shown that the set of points in Liouville systems of two degrees of freedom, which can be reached from an arbitrarily fixed initial position with a given modulo initial velocity, has the shape of a curvilinear octagon, which lies in the area of possible motion with the corresponding energy.