Orbits and Lagrangian Symmetries on the Phase Space
- https://doi.org/10.2991/jnmp.k.201203.001How to use a DOI?
- Lagrangian system, symmetry, conservation law
In this article, given a regular Lagrangian system L on the phase space TM of the configuration manifold M and a 1-parameter group G of transformations of M whose lifting to TM preserve the canonical symplectic dynamics associated to L, we determine conditions so that its infinitesimal generator produces conservation laws, in terms of the orbits of G in TM.
- © 2020 The Author. Published by Atlantis Press B.V.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Javier Pérez Álvare PY - 2020 DA - 2020/12 TI - Orbits and Lagrangian Symmetries on the Phase Space JO - Journal of Nonlinear Mathematical Physics SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.k.201203.001 DO - https://doi.org/10.2991/jnmp.k.201203.001 ID - Álvare2020 ER -