Geodesic
New cases of homogeneous integrable systems with dissipation on tangent bundles of four-dimensional manifolds
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 497 (2021), pp. 23-30

Voir la notice de l'article provenant de la source Math-Net.Ru

The integrability of certain classes of homogeneous dynamical systems on the tangent bundles of four-dimensional manifolds is shown. The force fields involved in the systems lead to dissipation of variable sign and generalize previously considered fields.
Keywords: dynamical system, integrability, dissipation, transcendental first integral. 
@article{DANMA_2021_497_a4,
     author = {M. V. Shamolin},
     title = {New cases of homogeneous integrable systems with dissipation on tangent bundles of four-dimensional manifolds},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {23--30},
     publisher = {mathdoc},
     volume = {497},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2021_497_a4/}
}
TY  - JOUR
AU  - M. V. Shamolin
TI  - New cases of homogeneous integrable systems with dissipation on tangent bundles of four-dimensional manifolds
JO  - Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ
PY  - 2021
SP  - 23
EP  - 30
VL  - 497
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DANMA_2021_497_a4/
LA  - ru
ID  - DANMA_2021_497_a4
ER  - 
%0 Journal Article
%A M. V. Shamolin
%T New cases of homogeneous integrable systems with dissipation on tangent bundles of four-dimensional manifolds
%J Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ
%D 2021
%P 23-30
%V 497
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DANMA_2021_497_a4/
%G ru
%F DANMA_2021_497_a4
M. V. Shamolin. New cases of homogeneous integrable systems with dissipation on tangent bundles of four-dimensional manifolds. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 497 (2021), pp. 23-30. http://geodesic.mathdoc.fr/item/DANMA_2021_497_a4/