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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: Article
    Journal or Publication Title: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
    Subjects:
    Departments: Faculty of Science and Technology > Physics
    ID Code: 699
    Deposited By: Dr Henning Schomerus
    Deposited On: 31 Oct 2007
    Refereed?: Yes
    Published?: Published
    Last Modified: 06 Mar 2015 13:02
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/699

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