Helicity in Hamiltonian dynamical systems

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.

arXiv comment15 pages, 3 figures, reformatted Sandia National Laboratories Technical Report