Lagrangian dynamics by nonlocal constants of motion
Dynamical Systems
2020-09-28 v1
Abstract
A simple general theorem is used as a tool that generates nonlocal constants of motion for Lagrangian systems. We review some cases where the constants that we find are useful in the study of the systems: the homogeneous potentials of degree~, the mechanical systems with viscous fluid resistance and the conservative and dissipative Maxwell-Bloch equations of laser dynamics. We also prove a new result on explosion in the past for mechanical system with hydraulic (quadratic) fluid resistance and bounded potential.
Keywords
Cite
@article{arxiv.2006.14844,
title = {Lagrangian dynamics by nonlocal constants of motion},
author = {Gianluca Gorni and Gaetano Zampieri},
journal= {arXiv preprint arXiv:2006.14844},
year = {2020}
}