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@article{931524,
author = {Adamec, Ladislav},
article_number = {1},
doi = {http://dx.doi.org/10.1142/S1402925111001180},
keywords = {Calculus of variations; Routh reduction; Poincaré-Cartan form},
language = {eng},
issn = {1402-9251},
journal = {Journal of Nonlinear Mathematical Physic},
title = {A routhe to Routh -- the classical setting},
volume = {18},
year = {2011}
}
TY - JOUR
ID - 931524
AU - Adamec, Ladislav
PY - 2011
TI - A routhe to Routh -- the classical setting
JF - Journal of Nonlinear Mathematical Physic
VL - 18
IS - 1
SP - 87-107
EP - 87-107
SN - 14029251
KW - Calculus of variations
KW - Routh reduction
KW - Poincaré-Cartan form
N2 - There is a well known principle in classical mechanic stating that a variational problem independent of a configuration space variable $w$ (so called cyclic variable), but dependent on its velocity $w'$ can be expressed without both $w$ and $w'$. This principle is known as the Routh reduction. In this paper we start to develop a purely geometric approach to this reduction. We do not limit ourselves to rather special problems of mechanics and in a certain sense we are able to obtain explicit formulae for the reduced variational integral.
ER -
ADAMEC, Ladislav. A routhe to Routh -- the classical setting. \textit{Journal of Nonlinear Mathematical Physic}. vol.~18, No~1, p.~87-107. ISSN~1402-9251. doi:10.1142/S1402925111001180. 2011.
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