Janson N B, Balanov A G, Anishchenko V S, McClintock P V
Department of Physics, Lancaster University, United Kingdom.
Phys Rev Lett. 2001 Feb 26;86(9):1749-52. doi: 10.1103/PhysRevLett.86.1749.
A novel approach is suggested for detecting the presence or absence of synchronization between two or three interacting processes with different time scales in univariate data. It is based on an angle-of-return-time map. A model is derived to describe analytically the behavior of angles for a periodic oscillator under weak periodic and quasiperiodic forcing. An explicit connection is demonstrated between the return angle and the phase of the external periodic forcing. The technique is tested on simulated nonstationary data and applied to human heart rate variability data.
本文提出了一种新颖的方法，用于检测单变量数据中两个或三个具有不同时间尺度的相互作用过程之间同步的存在与否。该方法基于返回时间角度图。推导了一个模型，用于解析描述周期振荡器在弱周期和准周期强迫下角度的行为。证明了返回角度与外部周期强迫相位之间的明确联系。该技术在模拟的非平稳数据上进行了测试，并应用于人类心率变异性数据。
