论文标题
可激发系统中噪声引起的相干振荡的相动态
Phase dynamics of noise-induced coherent oscillations in excitable systems
论文作者
论文摘要
噪声可以在没有周期性轨道的情况下引起可激发系统的连贯振荡。在这里，我们建立了一种方法来得出近似于噪声诱导的兴奋系统中的相干振荡的混合系统，并进一步对混合系统进行相减小，以得出有效的，尺寸降低的相位方程。我们将简化的相模型应用于定期强制的激发系统和两耦合的兴奋系统，均经历了噪声引起的振荡。还原相模型可以定量预测单个系统夹带到周期性的力和两个耦合系统的相互同步，包括蒙特卡洛模拟验证的噪声引起的相滑动行为。派生的相模型对噪声引起的振荡进行了简单有效的描述，并可以应用于对更一般情况的分析。
Noise can induce coherent oscillations in excitable systems without periodic orbits. Here, we establish a method to derive a hybrid system approximating the noise-induced coherent oscillations in excitable systems and further perform phase reduction of the hybrid system to derive an effective, dimensionality-reduced phase equation. We apply the reduced phase model to a periodically forced excitable system and two-coupled excitable systems, both undergoing noise-induced oscillations. The reduced phase model can quantitatively predict the entrainment of a single system to the periodic force and the mutual synchronization of two coupled systems, including the phase slipping behavior due to noise, as verified by Monte Carlo simulations. The derived phase model gives a simple and efficient description of noise-induced oscillations and can be applied to the analysis of more general cases.
