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Zhurnal Tekhnicheskoi Fiziki, 2016, Volume 86, Issue 2, Pages 110–118
(Mi jtf6639)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/jtf6639 https://www.mathnet.ru/eng/jtf/v86/i2/p110
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