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Zero-dispersion nonlinear resonance in dissipative systems.

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Zero-dispersion nonlinear resonance in dissipative systems. / Luchinsky, D. G.; McClintock, Peter V. E.; Soskin, Stanislav M. et al.
In: Physical review letters, Vol. 76, No. 24, 10.06.1996, p. 4453-4457.

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Luchinsky DG, McClintock PVE, Soskin SM, Mannella R. Zero-dispersion nonlinear resonance in dissipative systems. Physical review letters. 1996 Jun 10;76(24):4453-4457. doi: 10.1103/PhysRevLett.76.4453

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@article{d25d5aad4af84f849d73daa8f5553a14,
title = "Zero-dispersion nonlinear resonance in dissipative systems.",
abstract = "It is shown theoretically and by analog electronic experiment that, in dissipative oscillatory systems for which the frequency of eigenoscillation displays an extremum as a function of energy, the dynamics of nonlinear resonance can differ markedly from the conventional case. Transitions between the conventional and novel types of nonlinear resonance, as parameters vary, correspond to changes in the topology of basins of attraction. With added noise, they can result in drastic changes in fluctuational transition rates between small- and large-amplitude regimes.",
author = "Luchinsky, {D. G.} and McClintock, {Peter V. E.} and Soskin, {Stanislav M.} and R. Mannella",
note = "{\textcopyright} 1996 The American Physical Society",
year = "1996",
month = jun,
day = "10",
doi = "10.1103/PhysRevLett.76.4453",
language = "English",
volume = "76",
pages = "4453--4457",
journal = "Physical review letters",
issn = "1079-7114",
publisher = "American Physical Society",
number = "24",

}

RIS

TY - JOUR

T1 - Zero-dispersion nonlinear resonance in dissipative systems.

AU - Luchinsky, D. G.

AU - McClintock, Peter V. E.

AU - Soskin, Stanislav M.

AU - Mannella, R.

N1 - © 1996 The American Physical Society

PY - 1996/6/10

Y1 - 1996/6/10

N2 - It is shown theoretically and by analog electronic experiment that, in dissipative oscillatory systems for which the frequency of eigenoscillation displays an extremum as a function of energy, the dynamics of nonlinear resonance can differ markedly from the conventional case. Transitions between the conventional and novel types of nonlinear resonance, as parameters vary, correspond to changes in the topology of basins of attraction. With added noise, they can result in drastic changes in fluctuational transition rates between small- and large-amplitude regimes.

AB - It is shown theoretically and by analog electronic experiment that, in dissipative oscillatory systems for which the frequency of eigenoscillation displays an extremum as a function of energy, the dynamics of nonlinear resonance can differ markedly from the conventional case. Transitions between the conventional and novel types of nonlinear resonance, as parameters vary, correspond to changes in the topology of basins of attraction. With added noise, they can result in drastic changes in fluctuational transition rates between small- and large-amplitude regimes.

U2 - 10.1103/PhysRevLett.76.4453

DO - 10.1103/PhysRevLett.76.4453

M3 - Journal article

VL - 76

SP - 4453

EP - 4457

JO - Physical review letters

JF - Physical review letters

SN - 1079-7114

IS - 24

ER -