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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 - 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 -