Phase synchronization between several interacting processes from univariate data

被引:40
作者
Janson, NB [1 ]
Balanov, AG
Anishchenko, VS
McClintock, PVE
机构
[1] Univ Lancaster, Dept Phys, Lancaster LA1 4YB, England
[2] Saratov State Univ, Dept Phys, Saratov 410026, Russia
关键词
D O I
10.1103/PhysRevLett.86.1749
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页码:1749 / 1752
页数:4
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