随机振荡的相位描述
Phase Description of Stochastic Oscillations
摘要：
通过推广标准等相位的概念，我们引入了随机振荡的不变相位描述。平均等相位被构造为状态空间中的部分，具有恒定的平均第一返回时间。该方法允许获得一个全局的相位变量的噪声振荡，即使在相位是不明确的确定性限制的情况下。一个简单的数值方法来寻找的isophases说明噪声引起的两个共存的极限环之间的切换，和噪声引起的振荡在一个可激发的系统。我们还讨论了如何确定实验观察到的不规则振荡的同相线，提供了一个基础上观察到的振荡动力学的相位描述。
英文摘要：
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 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 the isophases for experimentally observed irregular oscillations, providing a basis for a refined phase description of observed oscillatory dynamics.
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