Locking-based frequency measurement and synchronization of chaotic oscillators with complex dynamics

We propose a method for the determination of a characteristic oscillation frequency for a broad class of chaotic oscillators generating complex signals. It is based on the locking of standard periodic self-sustained oscillators by an irregular signal. The method is applied to experimental data from...

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Bibliographic Details
Published in:Physical review letters 2002-12, Vol.89 (26), p.264102-264102, Article 264102
Main Authors: Rosenblum, Michael G, Pikovsky, Arkady S, Kurths, Jürgen, Osipov, Grigory V, Kiss, István Z, Hudson, John L
Format: Article
Language:English
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Summary:We propose a method for the determination of a characteristic oscillation frequency for a broad class of chaotic oscillators generating complex signals. It is based on the locking of standard periodic self-sustained oscillators by an irregular signal. The method is applied to experimental data from chaotic electrochemical oscillators, where other approaches of frequency determination (e.g., based on Hilbert transform) fail. Using the method we characterize the effects of phase synchronization for systems with ill-defined phase by external forcing and due to mutual coupling.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.89.264102