The symmetry reduction of variational integrals

The Routh reduction of cyclic variables in the Lagrange function and the Jacobi-Maupertuis principle of constant energy systems are generalized. The article deals with one-dimensional variational integral subject to differential constraints, the Lagrange variational problem, that admits the Lie grou...

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Bibliographic Details
Main Authors: Václav Tryhuk, Veronika Chrastinová
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2018-10-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/143/3/mb143_3_4.pdf