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Self-similar correlations in a barrier billiard
preprint
posted on 2005-08-25, 15:42 authored by J.R. Chapman, Andrew H. OsbaldestinWe give a renormalization analysis of the self-similarity of autocorrelation functions in symmetric
barrier billiards for golden mean trajectories. For the special case of a half-barrier we present a rigorous
calculation of the asymptotic height of the main peaks in the autocorrelation function. Fundamental to
this work is a detailed analysis of a functional recurrence equation which has previously been used in the
analysis of fluctuations in the Harper equation and of correlations in strange non-chaotic attractors and
in quantum two-level systems.
History
School
- Science
Department
- Mathematical Sciences
Pages
635845 bytesPublication date
2002Notes
This pre-print has been submitted, and accepted, to the journal, Physica D - Nonlinear Phenomena [© Elsevier]. The definitive version: CHAPMAN, J.R. and OSBALDESTIN, A.H., 2003.Self-similar correlations in a barrier billiard. Physica D - Nonlinear Phenomena, 180(1-2), pp. 71-91, is available at: http://www.sciencedirect.com/science/journal/01672789Language
- en