Noise-controlled oscillations and their bifurcations in coupled phase oscillators.
Noise-controlled oscillations and their bifurcations in coupled phase oscillators.
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耦合相位振荡器中的噪声控制振荡及其分叉。
DOI：
10.1103/physreve.68.066206
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
Schimansky-Geier,L
中科院分区：
文献类型：
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作者：
Zaks,MA;Neiman,AB;Feistel,S;Schimansky-Geier,L
本文在高斯近似下导出了全局耦合随机相位振子系统中平均场涨落的前两个累积量的动力学方程。在这些方程中，噪声强度作为显式控制参数。它的变化产生三个动力学制度之间的过渡：（i）固定，（ii）旋转和（iii）局部振荡（呼吸）。后一种制度以前没有报道在全球耦合噪声相位振荡器的研究。我们详细的分岔分析支持耦合随机相位振荡器的合奏的数值模拟。类似的制度也被发现在模拟全球耦合随机FitzHugh-Nagumo元素。
We derive in Gaussian approximation dynamical equations for the first two cumulants of the mean field fluctuations in a system of globally coupled stochastic phase oscillators. In these equations the intensity of noise serves as an explicit control parameter. Its variation generates transitions between three dynamical regimes:(i) stationary,(ii) rotatory and (iii) locally oscillatory (breathing). The latter regime has previously not been reported in studies of globally coupled noisy phase oscillators. Our detailed bifurcation analysis is supported by numerical simulations of an ensemble of coupled stochastic phase oscillators. Similar regimes are also found in simulations of globally coupled stochastic FitzHugh-Nagumo elements.