The Problem of Tori in Phase Space
General Physics
2018-10-17 v1 Chaotic Dynamics
Abstract
A fundamental premise of Hamiltonian chaos is the existence and properties of tori in phase space. More than a geometrical construct, these structures underlie the very dynamics of both classical and quantal systems. Although presented in many introductory textbooks on nonlinear dynamics, the structure of tori in phase space is rarely as transparent as is often presented. Here we outline some of the mathematics of the tori and illustrate a few of the geometric and topologically idiosyncrasies.
Keywords
Cite
@article{arxiv.1810.06972,
title = {The Problem of Tori in Phase Space},
author = {Paul Stanley},
journal= {arXiv preprint arXiv:1810.06972},
year = {2018}
}
Comments
5 pages plus 7 figures