Reduction of nonholonomic mechanical systems with symmetries

Authors
Cantrijn, F de Leon, M Marrero, JC de Diego, DM
Citation
F. Cantrijn et al., Reduction of nonholonomic mechanical systems with symmetries, REP MATH PH, 42(1-2), 1998, pp. 25-45
Citations number
29
Categorie Soggetti
Physics
Journal title
REPORTS ON MATHEMATICAL PHYSICS
ISSN journal
00344877 → ACNP
Volume
42
Issue
1-2
Year of publication
1998
Pages
25 - 45
Database
ISI
SICI code
0034-4877(199808/10)42:1-2<25:RONMSW>2.0.ZU;2-G
Abstract
A geometric reduction procedure is presented for Lagrangian systems subject ed to non-linear nonholonomic constraints in the presence of symmetries. Ou r approach is based on a geometrical method which enables one to deduce the constrained dynamics from the unconstrained one by projection. (1991) MS C lassification: 58F05, 70H33, 70H35, 70H30.