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Phase synchronization between several interacting processes from univariate data.

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Phase synchronization between several interacting processes from univariate data. / Janson, N. B.; Balanov, A. G.; Anishchenko, V. S. et al.
In: Physical review letters, Vol. 86, No. 9, 02.2001, p. 1749-1752.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Janson, NB, Balanov, AG, Anishchenko, VS & McClintock, PVE 2001, 'Phase synchronization between several interacting processes from univariate data.', Physical review letters, vol. 86, no. 9, pp. 1749-1752. https://doi.org/10.1103/PhysRevLett.86.1749

APA

Janson, N. B., Balanov, A. G., Anishchenko, V. S., & McClintock, P. V. E. (2001). Phase synchronization between several interacting processes from univariate data. Physical review letters, 86(9), 1749-1752. https://doi.org/10.1103/PhysRevLett.86.1749

Vancouver

Janson NB, Balanov AG, Anishchenko VS, McClintock PVE. Phase synchronization between several interacting processes from univariate data. Physical review letters. 2001 Feb;86(9):1749-1752. doi: 10.1103/PhysRevLett.86.1749

Author

Janson, N. B. ; Balanov, A. G. ; Anishchenko, V. S. et al. / Phase synchronization between several interacting processes from univariate data. In: Physical review letters. 2001 ; Vol. 86, No. 9. pp. 1749-1752.

Bibtex

@article{2e379f885b274da391f2fd0767959860,
title = "Phase synchronization between several interacting processes from univariate data.",
abstract = "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.",
author = "Janson, {N. B.} and Balanov, {A. G.} and Anishchenko, {V. S.} and McClintock, {Peter V. E.}",
note = "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",
year = "2001",
month = feb,
doi = "10.1103/PhysRevLett.86.1749",
language = "English",
volume = "86",
pages = "1749--1752",
journal = "Physical review letters",
issn = "1079-7114",
publisher = "American Physical Society",
number = "9",

}

RIS

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 -