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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: 26 Jul 2012 17:06
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/32179

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