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Phase synchronization between several interacting processes from univariate data.

Janson, N. B. and Balanov, A. G. and Anishchenko, V. S. and McClintock, Peter V. E. (2001) Phase synchronization between several interacting processes from univariate data. Physical Review Letters, 86 (9). pp. 1749-1752. ISSN 1079-7114

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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.

Item Type: Article
Journal or Publication Title: Physical Review Letters
Additional Information: 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
Subjects: Q Science > QC Physics
Departments: Faculty of Science and Technology > Physics
ID Code: 2271
Deposited By: ep_importer
Deposited On: 04 Apr 2008 10:01
Refereed?: Yes
Published?: Published
Last Modified: 26 Jul 2012 16:04
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/2271

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