| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1895924 | Physica D: Nonlinear Phenomena | 2012 | 17 Pages |
Abstract
⺠The string construction yields a family of billiard tables which are globally C2. ⺠The boundary of our billiard has strictly positive curvature. ⺠The hexagonal string billiard has three types of trajectories: focal, inner, and outer. ⺠Poincaré's SOS is filled solely with periodic points and invariant curves. ⺠We have gathered numerical evidence against the Birkhoff-Poritsky conjecture.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Hans L. Fetter,