Chaotic correlations in barrier billiards with arbitrary barriers

Andrew Osbaldestin, Luke Adamson

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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 languageEnglish
Pages (from-to)245101
Number of pages1
JournalJournal of Physics A: Mathematical and Theoretical
Volume46
Issue number24
DOIs
Publication statusPublished - 2013

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