On the nonholonomic Veselova and Chaplygin systems
Russian journal of nonlinear dynamics, Tome 8 (2012) no. 3, pp. 541-547
Voir la notice de l'article provenant de la source Math-Net.Ru
We prove the trajectory equivalence of the Chaplygin sphere problem, the Veselova system on $e^*(3)$ and a Hamiltonian system on two-dimensional sphere with the non-standard metric.
Keywords:
nonholonomic systems
Mots-clés : Poisson brackets.
Mots-clés : Poisson brackets.
@article{ND_2012_8_3_a8,
author = {Andrey V. Tsiganov},
title = {On the nonholonomic {Veselova} and {Chaplygin} systems},
journal = {Russian journal of nonlinear dynamics},
pages = {541--547},
publisher = {mathdoc},
volume = {8},
number = {3},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ND_2012_8_3_a8/}
}
Andrey V. Tsiganov. On the nonholonomic Veselova and Chaplygin systems. Russian journal of nonlinear dynamics, Tome 8 (2012) no. 3, pp. 541-547. http://geodesic.mathdoc.fr/item/ND_2012_8_3_a8/