Geodesic
Integrable motions of a pendulum in a two-dimensional plane
Contemporary Mathematics and Its Applications, Tome 100 (2016), pp. 36-57.

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

In this paper, we examine new cases of integrability of dynamical systems on the tangent bundle to a low-dimensional sphere, including flat dynamical systems that describe a rigid body in a nonconservative force field. The problems studied are described by dynamical systems with variable dissipation with zero mean. We detect cases of integrability of equations of motion in transcendental functions (in terms of classification of singularity) that are expressed through finite combinations of elementary functions. 
@article{CMA_2016_100_a4,
     author = {M. V. Shamolin},
     title = {Integrable motions of a pendulum in a two-dimensional plane},
     journal = {Contemporary Mathematics and Its Applications},
     pages = {36--57},
     publisher = {mathdoc},
     volume = {100},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMA_2016_100_a4/}
}
TY  - JOUR
AU  - M. V. Shamolin
TI  - Integrable motions of a pendulum in a two-dimensional plane
JO  - Contemporary Mathematics and Its Applications
PY  - 2016
SP  - 36
EP  - 57
VL  - 100
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMA_2016_100_a4/
LA  - ru
ID  - CMA_2016_100_a4
ER  - 
%0 Journal Article
%A M. V. Shamolin
%T Integrable motions of a pendulum in a two-dimensional plane
%J Contemporary Mathematics and Its Applications
%D 2016
%P 36-57
%V 100
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMA_2016_100_a4/
%G ru
%F CMA_2016_100_a4
M. V. Shamolin. Integrable motions of a pendulum in a two-dimensional plane. Contemporary Mathematics and Its Applications, Tome 100 (2016), pp. 36-57. http://geodesic.mathdoc.fr/item/CMA_2016_100_a4/