Stochastic dynamics of uncoupled neural oscillators: Fokker-Planck studies with the finite element method
Stochastic dynamics of uncoupled neural oscillators: Fokker-Planck studies with the finite element method
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DOI：
10.1103/physreve.76.056110
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发表时间：
2007-11-01
影响因子：
2.4
通讯作者：
Urban, Nathaniel N.
中科院分区：
文献类型：
--
作者：
Galan, Roberto F.;Ermentrout, G. Bard;Urban, Nathaniel N.
我们研究了在与神经科学特别相关的两种极限情况下相位响应曲线对噪声驱动的振荡器动力学的影响。使用有限元方法求解 Fokker-Planck 方程，我们研究了 (i) 噪声对量化为变异系数的振荡规律性的影响，(ii) 由相关噪声驱动的两个非耦合相位振荡器的随机同步，以及 (iii) 它们的互相关函数。我们表明，总体而言，II 型振荡器的极限对噪声的鲁棒性更强，并且在通过相关噪声进行同步方面比 I 型振荡器更有效。
We have investigated the effect of the phase response curve on the dynamics of oscillators driven by noise in two limit cases that are especially relevant for neuroscience. Using the finite element method to solve the Fokker-Planck equation we have studied (i) the impact of noise on the regularity of the oscillations quantified as the coefficient of variation, (ii) stochastic synchronization of two uncoupled phase oscillators driven by correlated noise, and (iii) their cross-correlation function. We show that, in general, the limit of type II oscillators is more robust to noise and more efficient at synchronizing by correlated noise than type I.