Singular continuous spectra in a pseudo-integrable billiard
Chaotic Dynamics
2009-10-31 v1
Abstract
The pseudo-integrable barrier billiard invented by Hannay and McCraw [J. Phys. A 23, 887 (1990)] -- rectangular billiard with line-segment barrier placed on a symmetry axis -- is generalized. It is proven that the flow on invariant surfaces of genus two exhibits a singular continuous spectral component.
Cite
@article{arxiv.nlin/0003032,
title = {Singular continuous spectra in a pseudo-integrable billiard},
author = {Jan Wiersig},
journal= {arXiv preprint arXiv:nlin/0003032},
year = {2009}
}
Comments
4 pages, 2 figures