标题： 对接受共同随机脉冲的无耦合极限环振荡器相位相干性的平均方法 显示英文标题

标题： Averaging approach to phase coherence of uncoupled limit-cycle oscillators receiving common random impulses

摘要： 接受共同随机脉冲的解耦极限环振子种群表现出各种类型的相位同步状态，这些状态由振子对之间的相位差分布来表征。 我们发展了一种理论，通过平均描述脉冲驱动振子的弗罗贝尼乌斯-佩龙方程，从相位响应曲线预测成对相位差的稳态分布，该相位响应曲线定量地概括了振子动力学。 我们的理论有效性通过直接数值模拟得到确认，以接受共同泊松脉冲的菲茨休-纳古莫神经振子为例。 显示英文摘要

摘要： Populations of uncoupled limit-cycle oscillators receiving common random impulses show various types of phase-coherent states, which are characterized by the distribution of phase differences between pairs of oscillators. We develop a theory to predict the stationary distribution of pairwise phase difference from the phase response curve, which quantitatively encapsulates the oscillator dynamics, via averaging of the Frobenius-Perron equation describing the impulse-driven oscillators. The validity of our theory is confirmed by direct numerical simulations using the FitzHugh-Nagumo neural oscillator receiving common Poisson impulses as an example.