Informace o publikaci
On the Routh reduction of variational integrals. Part 1: The classical theory.
| Autoři | |
|---|---|
| Rok publikování | 2012 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | WSEAS TRANSACTIONS on MATHEMATICS |
| Fakulta / Pracoviště MU | |
| Citace | |
| Obor | Obecná matematika |
| Klíčová slova | Variational integral; Poincare-Cartan form; conservation law; Routh reduction |
| Popis | 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. |
| Související projekty: |