Examples of nine-order integrable dynamical systems with dissipation
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 187 (2020), pp. 68-81
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In this paper, the integrability of some classes of homogeneous with respect to a part of variables ninth-order dynamical systems, in which a system on the tangent bundle to four-dimensional manifolds is distinguished. In this case, force fields have a dissipation of different signs and are generalizations of those considered earlier.
Keywords:
dynamical system, nonconservative force fields, integrability, transcendental first integral.
@article{INTO_2020_187_a7,
author = {M. V. Shamolin},
title = {Examples of nine-order integrable dynamical systems with dissipation},
journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
pages = {68--81},
publisher = {mathdoc},
volume = {187},
year = {2020},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTO_2020_187_a7/}
}
TY - JOUR AU - M. V. Shamolin TI - Examples of nine-order integrable dynamical systems with dissipation JO - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory PY - 2020 SP - 68 EP - 81 VL - 187 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/INTO_2020_187_a7/ LA - ru ID - INTO_2020_187_a7 ER -
%0 Journal Article %A M. V. Shamolin %T Examples of nine-order integrable dynamical systems with dissipation %J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory %D 2020 %P 68-81 %V 187 %I mathdoc %U http://geodesic.mathdoc.fr/item/INTO_2020_187_a7/ %G ru %F INTO_2020_187_a7
M. V. Shamolin. Examples of nine-order integrable dynamical systems with dissipation. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 187 (2020), pp. 68-81. http://geodesic.mathdoc.fr/item/INTO_2020_187_a7/