Separation of variables for some generalization of the Chaplygin system on~a~sphere
Russian journal of nonlinear dynamics, Tome 11 (2015) no. 1, pp. 179-185
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We show how to to get variables of separation for the Chaplygin system on the sphere with velocity dependent potential using relations of this system with other integrable system separable in sphero-conical coordinates on the sphere.
Keywords:
integrable systems, separation of variables, velocity dependent potentials.
@article{ND_2015_11_1_a9,
author = {Andrey V. Tsiganov},
title = {Separation of variables for some generalization of the {Chaplygin} system on~a~sphere},
journal = {Russian journal of nonlinear dynamics},
pages = {179--185},
publisher = {mathdoc},
volume = {11},
number = {1},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ND_2015_11_1_a9/}
}
TY - JOUR AU - Andrey V. Tsiganov TI - Separation of variables for some generalization of the Chaplygin system on~a~sphere JO - Russian journal of nonlinear dynamics PY - 2015 SP - 179 EP - 185 VL - 11 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ND_2015_11_1_a9/ LA - ru ID - ND_2015_11_1_a9 ER -
Andrey V. Tsiganov. Separation of variables for some generalization of the Chaplygin system on~a~sphere. Russian journal of nonlinear dynamics, Tome 11 (2015) no. 1, pp. 179-185. http://geodesic.mathdoc.fr/item/ND_2015_11_1_a9/