A route to Routh—the parametric problem.
| Authors | |
|---|---|
| Year of publication | 2012 |
| Type | Article in Periodical |
| Magazine / Source | Acta Applicandae Mathematicae |
| MU Faculty or unit | |
| 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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