On the Routh reduction of variational integrals. Part 1: The classical theory.
| Authors | |
|---|---|
| Year of publication | 2012 |
| Type | Article in Periodical |
| Magazine / Source | WSEAS TRANSACTIONS on MATHEMATICS |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Variational integral; Poincare-Cartan form; conservation law; Routh reduction |
| Description | A geometrical approach to the reductions of one-dimensional first order variational integrals with respect to a Lie symmetry group is discussed. The method includes both the Routh reduction of cyclic variables and the Jacobi-Maupertuis reduction to the constant energy level. In full generality, it may be applied even to the Lagrange variational problems with higher order symmetries. |
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