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Universality of zero-dispersion peaks in the fluctuation spectra of underdamped nonlinear oscillators.

McClintock, Peter V. E. and Soskin, S. M. and Stein, N. D. and Stocks, N. G. (1993) Universality of zero-dispersion peaks in the fluctuation spectra of underdamped nonlinear oscillators. Physical Review E, 48 (1). pp. 147-156. ISSN 1539-3755

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    Abstract

    Zero dispersion peaks (ZDPs), which can arise in the fluctuation spectra of noise-driven underdamped oscillators for which the dependence of the eigenfrequency omega on energy E possesses a maximum or minimum, have been investigated by means of analogue electronic experiments. Two different model systems were studied: a tilted Duffing oscillator (TDO); and a bistable superconducting quantum interference device (SQUID) model. It is demonstrated experimentally for the first time that, for strong enough intensity $T$ of Gaussian pseudo-white noise (equivalent to temperature in a thermal system), the shape of the ZDP becomes universal, independent of the system under investigation. Its evolution with T is also shown to exhibit universal features, being governed by a single parameter provided that $T$ exceeds a critical value Tc, below which the ZDP disappears abruptly. The hierarchy of universalities connected to particular types of extrema in omega (E) is discussed. The results are of relevance to underdamped SQUIDs and, in particular, to the recently discovered phenomenon of zero-dispersion stochastic resonance.

    Item Type: Article
    Journal or Publication Title: Physical Review E
    Subjects: Q Science > QC Physics
    Departments: Faculty of Science and Technology > Physics
    Faculty of Science and Technology > Lancaster Environment Centre
    ID Code: 32179
    Deposited By: Professor P. V. E. McClintock
    Deposited On: 18 Mar 2010 11:38
    Refereed?: Yes
    Published?: Published
    Last Modified: 14 Apr 2015 09:12
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/32179

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