Abstract
We study autocorrelation functions in symmetric barrier billiards for golden mean trajectories with arbitrary barriers. Renormalization analysis reveals the presence of a chaotic invariant set and thus that, for a typical barrier, there are chaotic correlations. The chaotic renormalization set is the analogue of the so-called orchid that arises in a generalized Harper equation.
| Original language | English |
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| Pages (from-to) | 245101 |
| Number of pages | 1 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 46 |
| Issue number | 24 |
| DOIs | |
| Publication status | Published - 2013 |