Geodesic
Symmetries and reduction in nonholonomic mechanics
Russian journal of nonlinear dynamics, Tome 11 (2015) no. 4, pp. 763-823

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

This paper is a review of the problem of the constructive reduction of nonholonomic systems with symmetries. The connection of reduction with the presence of the simplest tensor invariants (first integrals and symmetry fields) is shown. All theoretical constructions are illustrated by examples encountered in applications. In addition, the paper contains a short historical and critical sketch covering the contribution of various researchers to this problem.
Keywords: reduction, symmetry, tensor invariant, first integral, symmetry group, symmetry field, nonholonomic constraint, Noether theorem. 
@article{ND_2015_11_4_a8,
     author = {A. V. Borisov and I. S. Mamaev},
     title = {Symmetries and reduction in nonholonomic mechanics},
     journal = {Russian journal of nonlinear dynamics},
     pages = {763--823},
     publisher = {mathdoc},
     volume = {11},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2015_11_4_a8/}
}
TY  - JOUR
AU  - A. V. Borisov
AU  - I. S. Mamaev
TI  - Symmetries and reduction in nonholonomic mechanics
JO  - Russian journal of nonlinear dynamics
PY  - 2015
SP  - 763
EP  - 823
VL  - 11
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2015_11_4_a8/
LA  - ru
ID  - ND_2015_11_4_a8
ER  - 
%0 Journal Article
%A A. V. Borisov
%A I. S. Mamaev
%T Symmetries and reduction in nonholonomic mechanics
%J Russian journal of nonlinear dynamics
%D 2015
%P 763-823
%V 11
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2015_11_4_a8/
%G ru
%F ND_2015_11_4_a8
A. V. Borisov; I. S. Mamaev. Symmetries and reduction in nonholonomic mechanics. Russian journal of nonlinear dynamics, Tome 11 (2015) no. 4, pp. 763-823. http://geodesic.mathdoc.fr/item/ND_2015_11_4_a8/