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Phase coherence diagnostics by one-dimensional time series

Research output: Contribution to journalJournal article

Published

<mark>Journal publication date</mark>12/2001
<mark>Journal</mark>Technical Physics Letters
Issue12
Volume27
Number of pages4
Pages987-990
<mark>Original language</mark>English

Abstract

A new method, employing one-dimensional time series, is proposed for diagnostics of the presence or absence of phase synchronization between several interacting self-sustained oscillators. The procedure is based on introducing a polar coordinate system into the residence time mapping and studying the angle dynamics in this system. The method is verified by application to realizations reflecting the dynamics of two and three interacting processes in the presence of noise.

Bibliographic note

The final publication is available at Springer via http://dx.doi.org/10.1134/1.1432324 Translated from Pis’ma v Zhurnal Tekhnichesko Ï Fiziki, Vol. 27, No. 23, 2001, pp. 16–24.