A route to Routh—the parametric problem.

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Authors

ADAMEC Ladislav

Year of publication 2012
Type Article in Periodical
Magazine / Source Acta Applicandae Mathematicae
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.1007/s10440-011-9654-2
Field General mathematics
Keywords Calculus of variations; Routh reduction; Poincare-Cartan form
Description There is a well known principle in classical mechanic stating that a variational problem independent of a space variable $w$ (so called cyclic variable), but dependent on the velocity $w'$ can be expressed without both $w$ and $w'$. This is the Routh reduction principle. We develop a geometrical approach to the problem and deal with general first order variational integrals admitting a Lie symmetry group of point transformations.
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