Helicity in Hamiltonian dynamical systems
Classical Physics
2024-02-14 v2 Fluid Dynamics
Plasma Physics
Abstract
Helicity plays a unique role as an integral invariant of a dynamical system. In this paper, the concept of helicity in the general setting of Hamiltonian dynamics is discussed. It is shown, through examples, how the conservation of overall helicity can imply a bound on other quantities of the motion in a nontrivial way.
Cite
@article{arxiv.1912.04895,
title = {Helicity in Hamiltonian dynamical systems},
author = {Michael E. Glinsky and Poul G. Hjorth},
journal= {arXiv preprint arXiv:1912.04895},
year = {2024}
}
Comments
15 pages, 3 figures, reformatted Sandia National Laboratories Technical Report