Time-dependent kinetic energy metrics for Lagrangians of electromagnetic type
Mathematical Physics
2012-03-23 v1 Dynamical Systems
math.MP
Abstract
We extend the results obtained in a previous paper about a class of Lagrangian systems which admit alternative kinetic energy metrics to second-order mechanical systems with explicit time-dependence. The main results are that a time-dependent alternative metric will have constant eigenvalues, and will give rise to a time-dependent coordinate transformation which partially decouples the system.
Keywords
Cite
@article{arxiv.1112.0162,
title = {Time-dependent kinetic energy metrics for Lagrangians of electromagnetic type},
author = {W. Sarlet and G. Prince and T. Mestdag and O. Krupkova},
journal= {arXiv preprint arXiv:1112.0162},
year = {2012}
}