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Zhurnal Tekhnicheskoi Fiziki, 2016, Volume 86, Issue 2, Pages 110–118 (Mi jtf6639)  

This article is cited in 1 scientific paper (total in 1 paper)

Radiophysics

Analysis of phase synchronization of chaotic oscillations in terms of symbolic CTQ-analysis

A. V. Makarenko

Constructive Cybernetics Research Group, Moscow
Full-text PDF (515 kB) Citations (1)
Abstract: The application of symbolic CTQ-analysis for studying synchronization of chaotic oscillations is considered. This approach differs substantially from its analogs since it makes it possible to diagnose and measure quantitatively the characteristics of intermittency regimes in synchronization of chaotic systems and, hence, to analyzer the temporal structure of synchronization. The application of the symbolic analysis apparatus based on the T alphabet to systems with phase locking and synchronization of time scales is demonstrated for the first time. As an example, a complex system of two mutually coupled nonidentical Rössler oscillators in the helical chaos regime with attractors having an ill-conditioned phase is considered. The results show that the method considered here makes it possible to reliably diagnose synchronism sooner than a phase locking and/or time-scale synchronization threshold is detected.
Keywords: Chaotic System, Phase Variable, Relative Entropy, Phase Synchronization, Chaotic Oscillation.
Received: 17.10.2014
Revised: 29.06.2015
English version:
Technical Physics, 2016, Volume 61, Issue 2, Pages 265–273
DOI: https://doi.org/10.1134/S106378421602016X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Makarenko, “Analysis of phase synchronization of chaotic oscillations in terms of symbolic CTQ-analysis”, Zhurnal Tekhnicheskoi Fiziki, 86:2 (2016), 110–118; Tech. Phys., 61:2 (2016), 265–273
Citation in format AMSBIB
\Bibitem{Mak16}
\by A.~V.~Makarenko
\paper Analysis of phase synchronization of chaotic oscillations in terms of symbolic CTQ-analysis
\jour Zhurnal Tekhnicheskoi Fiziki
\yr 2016
\vol 86
\issue 2
\pages 110--118
\mathnet{http://mi.mathnet.ru/jtf6639}
\elib{https://elibrary.ru/item.asp?id=25669227}
\transl
\jour Tech. Phys.
\yr 2016
\vol 61
\issue 2
\pages 265--273
\crossref{https://doi.org/10.1134/S106378421602016X}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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