Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - Power spectra of noise-driven nonlinear systems and stochastic resonance.
AU - Dykman, Mark
AU - McClintock, Peter V. E.
PY - 1992/9/15
Y1 - 1992/9/15
N2 - The results of recent experimental and theoretical investigations of the spectral densities of fluctuations (SDFs) of noise-driven nonlinear dynamical systems are reviewed. Emphasis is placed on the analysis of the shapes and intensities of peaks in the SDFs. Three different types of phenomena are considered. First, the SDFs of a class of monostable underdamped nonlinear systems, in which the variation of eigenfrequency with energy is nonmonotonic, are investigated. It is shown that they exhibit zero-dispersion peaks and noise-induced spectral narrowing, as well as zero-frequency peaks. Secondly, it is demonstrated that systems bistable in an external periodic field can exhibit supernarrow spectral peaks within the range of a kinetic phase transition. Finally, recent results in stochastic resonance (SR) are reviewed, including phase shifts, giant nonlinearities for weak noise, SR for periodically modulated noise intensity, and high-frequency SR for periodic attractors.
AB - The results of recent experimental and theoretical investigations of the spectral densities of fluctuations (SDFs) of noise-driven nonlinear dynamical systems are reviewed. Emphasis is placed on the analysis of the shapes and intensities of peaks in the SDFs. Three different types of phenomena are considered. First, the SDFs of a class of monostable underdamped nonlinear systems, in which the variation of eigenfrequency with energy is nonmonotonic, are investigated. It is shown that they exhibit zero-dispersion peaks and noise-induced spectral narrowing, as well as zero-frequency peaks. Secondly, it is demonstrated that systems bistable in an external periodic field can exhibit supernarrow spectral peaks within the range of a kinetic phase transition. Finally, recent results in stochastic resonance (SR) are reviewed, including phase shifts, giant nonlinearities for weak noise, SR for periodically modulated noise intensity, and high-frequency SR for periodic attractors.
U2 - 10.1016/0167-2789(92)90099-9
DO - 10.1016/0167-2789(92)90099-9
M3 - Journal article
VL - 58
SP - 10
EP - 30
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
SN - 0167-2789
IS - 1-4
ER -