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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Universality of zero-dispersion peaks in the fluctuation spectra of underdamped nonlinear oscillators.
AU - McClintock, Peter V. E.
AU - Soskin, Stanislav M.
AU - Stein, N. D.
AU - Stocks, N. G.
PY - 1993/7
Y1 - 1993/7
N2 - 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.
AB - 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.
U2 - 10.1103/PhysRevE.48.147
DO - 10.1103/PhysRevE.48.147
M3 - Journal article
VL - 48
SP - 147
EP - 156
JO - Physical Review E
JF - Physical Review E
SN - 1539-3755
IS - 1
ER -