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

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An Erratum to this article was published on 30 April 2017

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.

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Authors and Affiliations

  1. Constructive Cybernetics Research Group, P. O. Box 560, Moscow, 101000, Russia

    A. V. Makarenko

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Correspondence to A. V. Makarenko.

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Original Russian Text © A.V. Makarenko, 2016, published in Zhurnal Tekhnicheskoi Fiziki, 2016, Vol. 61, No. 2, pp. 110–118.

An erratum to this article is available at http://dx.doi.org/10.1134/S1063784217140018.

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Makarenko, A.V. Analysis of phase synchronization of chaotic oscillations in terms of symbolic CTQ-analysis. Tech. Phys. 61, 265–273 (2016). https://doi.org/10.1134/S106378421602016X

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  • DOI: https://doi.org/10.1134/S106378421602016X

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