Fix-lines and stability domain in the vicinity of the coupled third order resonance
Accelerator Physics
2015-04-20 v1
Abstract
The single particle stability in a circular accelerator is of concern especially for operational regimes involving beam storage of hours. In the proximity to a resonance this stability domain shrinks, and the phase space fragments into a jungle of exotic objects like for instance "fix-lines". The concept of fix-points is easily understandable in a 2D phase space. It becomes quite challenging when the effect of resonances is considered in the 4D phase space, which leads then to the concept of fix-lines. In this paper we investigate the fix-lines in the proximity of a coupled third order resonance and find the relation of these objects with the stability of motion.
Keywords
Cite
@article{arxiv.1504.04389,
title = {Fix-lines and stability domain in the vicinity of the coupled third order resonance},
author = {Giuliano Franchetti and Frank Schmidt},
journal= {arXiv preprint arXiv:1504.04389},
year = {2015}
}
Comments
35 pages, 29 figures