The geodesic flow on a~two-dimensional ellipsoid in the field of an elastic force. Topological classification of solutions
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2018), pp. 27-33
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The Liouville foliation of system describing the motion of a material point on a 2-dimensional ellipsoid in the field of elastic forse is considered. The main goal is to find Fomenko–Zieschang invariants (isoenergetic molecules) of the system. The algebraic method of M. P. Kharlamov is used to obtain the results.
@article{VMUMM_2018_2_a2,
author = {I. F. Kobtsev},
title = {The geodesic flow on a~two-dimensional ellipsoid in the field of an elastic force. {Topological} classification of solutions},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {27--33},
publisher = {mathdoc},
number = {2},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2018_2_a2/}
}
TY - JOUR AU - I. F. Kobtsev TI - The geodesic flow on a~two-dimensional ellipsoid in the field of an elastic force. Topological classification of solutions JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2018 SP - 27 EP - 33 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMUMM_2018_2_a2/ LA - ru ID - VMUMM_2018_2_a2 ER -
%0 Journal Article %A I. F. Kobtsev %T The geodesic flow on a~two-dimensional ellipsoid in the field of an elastic force. Topological classification of solutions %J Vestnik Moskovskogo universiteta. Matematika, mehanika %D 2018 %P 27-33 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMUMM_2018_2_a2/ %G ru %F VMUMM_2018_2_a2
I. F. Kobtsev. The geodesic flow on a~two-dimensional ellipsoid in the field of an elastic force. Topological classification of solutions. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2018), pp. 27-33. http://geodesic.mathdoc.fr/item/VMUMM_2018_2_a2/