Singular continuous spectra in a pseudo-integrable billiard

Details Singular continuous spectra in a pseudo-integrable billiard Singular continuous spectra in a pseudo-integrable billiard

2000-03-13

arxiv.org/abs/nlin/0003032v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevE.62.R21

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.

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