Universal twinkling exponents for spectral fluctuations associated with mixed chaology

Berry, M. V. and Keating, J. P. and Schomerus, H. (2000) Universal twinkling exponents for spectral fluctuations associated with mixed chaology. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 456. p. 1659. ISSN 1364-5021

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Abstract

For systems that are neither fully integrable nor fully chaotic, bifurcations of periodic orbits give rise to semiclassically emergent singularities in the fluctuating part Nfl of the energy-level counting function. The bifurcations dominate the spectral moments Mm(h) = ((Nfl)2m) in the limit h M 0. We argue that Mm(h) ~ const./hvm, and calculate the twinkling exponents vm as the result of a competition between bifurcations with different codimensions and repetition numbers.

Item Type:
Journal Article
Journal or Publication Title:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600
Subjects:
ID Code:
699
Deposited By:
Deposited On:
31 Oct 2007
Refereed?:
Yes
Published?:
Published
Last Modified:
06 Aug 2020 01:13