Phase Description of Stochastic Oscillations
Phase Description of Stochastic Oscillations
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DOI：
10.1103/physrevlett.110.204102
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发表时间：
2013-05-13
影响因子：
8.6
通讯作者：
Pikovsky, Arkady
中科院分区：
文献类型：
--
作者：
Schwabedal, Justus T. C.;Pikovsky, Arkady
通过推广标准等相的概念，引入随机振荡的不变相位描述。平均等相被构造为状态空间中的部分，具有恒定的平均首次返回时间。该方法允许我们获得噪声振荡的全局相位变量，即使在相位在确定性极限中定义不清的情况下也是如此。给出了在两个共存的极限环之间的噪声诱导切换和可激系统中噪声诱导振荡的等相的简单数值计算方法。我们还讨论了如何确定观测到的不规则振荡的等相，为数据分析中精细的相位描述提供了基础。
We introduce an invariant phase description of stochastic oscillations by generalizing the concept of standard isophases. The average isophases are constructed as sections in the state space, having a constant mean first return time. The approach allows us to obtain a global phase variable of noisy oscillations, even in the cases where the phase is ill defined in the deterministic limit. A simple numerical method for finding the isophases is illustrated for noise-induced switching between two coexisting limit cycles, and for noise-induced oscillation in an excitable system. We also discuss how to determine isophases of observed irregular oscillations, providing a basis for a refined phase description in data analysis.