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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Phase synchronization between several interacting processes from univariate data.
AU - Janson, N. B.
AU - Balanov, A. G.
AU - Anishchenko, V. S.
AU - McClintock, Peter V. E.
N1 - A novel approach for detecting in univariate data the presence or absence of synchronization between two or three interacting oscillatory processes with different time scales. The technique is applicable to human heart rate variability data. It has been found useful by others [21 citations]. RAE_import_type : Journal article RAE_uoa_type : Physics
PY - 2001/2
Y1 - 2001/2
N2 - 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.
AB - 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.
U2 - 10.1103/PhysRevLett.86.1749
DO - 10.1103/PhysRevLett.86.1749
M3 - Journal article
VL - 86
SP - 1749
EP - 1752
JO - Physical review letters
JF - Physical review letters
SN - 1079-7114
IS - 9
ER -