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Supernarrow spectral peaks and high-frequency stochastic resonance in systems with coexisting periodic attractors.

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Supernarrow spectral peaks and high-frequency stochastic resonance in systems with coexisting periodic attractors. / Dykman, Mark; Luchinsky, D. G.; Mannella, R. et al.
In: Physical Review E, Vol. 49, No. 2, 02.1994, p. 1198-1215.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Dykman M, Luchinsky DG, Mannella R, McClintock PVE, Stein ND, Stocks NG. Supernarrow spectral peaks and high-frequency stochastic resonance in systems with coexisting periodic attractors. Physical Review E. 1994 Feb;49(2):1198-1215. doi: 10.1103/PhysRevE.49.1198

Author

Dykman, Mark ; Luchinsky, D. G. ; Mannella, R. et al. / Supernarrow spectral peaks and high-frequency stochastic resonance in systems with coexisting periodic attractors. In: Physical Review E. 1994 ; Vol. 49, No. 2. pp. 1198-1215.

Bibtex

@article{048fce56e0b94b818678eedac5609fc8,
title = "Supernarrow spectral peaks and high-frequency stochastic resonance in systems with coexisting periodic attractors.",
abstract = "The kinetics of a periodically driven nonlinear oscillator, bistable in a nearly resonant field, has been investigated theoretically and through analog experiments. An activation dependence of the probabilities of fluctuational transitions between the coexisting attractors has been observed, and the activation energies of the transitions have been calculated and measured for a wide range of parameters. The position of the kinetic phase transition (KPT) at which the populations of the attractors are equal has been established. A range of critical phenomena is shown to arise in the vicinity of the KPT including, in particular, the appearance of a supernarrow peak in the spectral density of the fluctuations, and the occurrence of high-frequency stochastic resonance (HFSR). The experimental measurements of the transition probabilities, the KPT line, the multipeaked spectral densities, the strength of the supernarrow peak, and the HFSR effect are shown to be in good agreement with the theoretical predictions.",
author = "Mark Dykman and Luchinsky, {D. G.} and R. Mannella and McClintock, {Peter V. E.} and Stein, {N. D.} and Stocks, {N. G.}",
year = "1994",
month = feb,
doi = "10.1103/PhysRevE.49.1198",
language = "English",
volume = "49",
pages = "1198--1215",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "2",

}

RIS

TY - JOUR

T1 - Supernarrow spectral peaks and high-frequency stochastic resonance in systems with coexisting periodic attractors.

AU - Dykman, Mark

AU - Luchinsky, D. G.

AU - Mannella, R.

AU - McClintock, Peter V. E.

AU - Stein, N. D.

AU - Stocks, N. G.

PY - 1994/2

Y1 - 1994/2

N2 - The kinetics of a periodically driven nonlinear oscillator, bistable in a nearly resonant field, has been investigated theoretically and through analog experiments. An activation dependence of the probabilities of fluctuational transitions between the coexisting attractors has been observed, and the activation energies of the transitions have been calculated and measured for a wide range of parameters. The position of the kinetic phase transition (KPT) at which the populations of the attractors are equal has been established. A range of critical phenomena is shown to arise in the vicinity of the KPT including, in particular, the appearance of a supernarrow peak in the spectral density of the fluctuations, and the occurrence of high-frequency stochastic resonance (HFSR). The experimental measurements of the transition probabilities, the KPT line, the multipeaked spectral densities, the strength of the supernarrow peak, and the HFSR effect are shown to be in good agreement with the theoretical predictions.

AB - The kinetics of a periodically driven nonlinear oscillator, bistable in a nearly resonant field, has been investigated theoretically and through analog experiments. An activation dependence of the probabilities of fluctuational transitions between the coexisting attractors has been observed, and the activation energies of the transitions have been calculated and measured for a wide range of parameters. The position of the kinetic phase transition (KPT) at which the populations of the attractors are equal has been established. A range of critical phenomena is shown to arise in the vicinity of the KPT including, in particular, the appearance of a supernarrow peak in the spectral density of the fluctuations, and the occurrence of high-frequency stochastic resonance (HFSR). The experimental measurements of the transition probabilities, the KPT line, the multipeaked spectral densities, the strength of the supernarrow peak, and the HFSR effect are shown to be in good agreement with the theoretical predictions.

U2 - 10.1103/PhysRevE.49.1198

DO - 10.1103/PhysRevE.49.1198

M3 - Journal article

VL - 49

SP - 1198

EP - 1215

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 2

ER -