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Chaotic properties of a time-modulated barrier.

Leonel, E. D. and McClintock, Peter V. E. (2004) Chaotic properties of a time-modulated barrier. Physical Review E, 70 (1). 016214. ISSN 1539-3755

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    Abstract

    Some chaotic properties of a classical particle interacting with a time-modulated barrier are studied. The dynamics of this problem is obtained by use of a two-dimensional nonlinear area-preserving map. The chaotic low energy region is characterized in terms of Lyapunov exponents. The time that the particle stays trapped in the well is such that the distributions of successive reflections, and of the corresponding successive reflection times, obey power laws with the same exponent. Using time series analysis, we show that the chaotic sea exhibits an interesting scaling property over a large range of control parameters. Our results indicate that the particle experiences unlimited energy growth when the barrier behaves randomly.

    Item Type: Article
    Journal or Publication Title: Physical Review E
    Subjects: Q Science > QC Physics
    Departments: Faculty of Science and Technology > Physics
    ID Code: 23890
    Deposited By: ep_ss_importer
    Deposited On: 23 Feb 2009 10:09
    Refereed?: Yes
    Published?: Published
    Last Modified: 14 Apr 2015 09:22
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/23890

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