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Title: Analysis of the time structure of synchronization in multidimensional chaotic systems

Abstract

A new approach is proposed to the integrated analysis of the time structure of synchronization of multidimensional chaotic systems. The method allows one to diagnose and quantitatively evaluate the intermittency characteristics during synchronization of chaotic oscillations in the T-synchronization mode. A system of two identical logistic mappings with unidirectional coupling that operate in the developed chaos regime is analyzed. It is shown that the widely used approach, in which only synchronization patterns are subjected to analysis while desynchronization areas are considered as a background signal and removed from analysis, should be regarded as methodologically incomplete.

Authors:
 [1]
  1. Constructive Cybernetics Research Group (Russian Federation)
Publication Date:
OSTI Identifier:
22472254
Resource Type:
Journal Article
Journal Name:
Journal of Experimental and Theoretical Physics
Additional Journal Information:
Journal Volume: 120; Journal Issue: 5; Other Information: Copyright (c) 2015 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHAOS THEORY; COUPLING; MAPPING; OSCILLATIONS; SIGNALS; SYNCHRONIZATION

Citation Formats

Makarenko, A. V., E-mail: avm.science@mail.ru. Analysis of the time structure of synchronization in multidimensional chaotic systems. United States: N. p., 2015. Web. doi:10.1134/S106377611504010X.
Makarenko, A. V., E-mail: avm.science@mail.ru. Analysis of the time structure of synchronization in multidimensional chaotic systems. United States. doi:10.1134/S106377611504010X.
Makarenko, A. V., E-mail: avm.science@mail.ru. Fri . "Analysis of the time structure of synchronization in multidimensional chaotic systems". United States. doi:10.1134/S106377611504010X.
@article{osti_22472254,
title = {Analysis of the time structure of synchronization in multidimensional chaotic systems},
author = {Makarenko, A. V., E-mail: avm.science@mail.ru},
abstractNote = {A new approach is proposed to the integrated analysis of the time structure of synchronization of multidimensional chaotic systems. The method allows one to diagnose and quantitatively evaluate the intermittency characteristics during synchronization of chaotic oscillations in the T-synchronization mode. A system of two identical logistic mappings with unidirectional coupling that operate in the developed chaos regime is analyzed. It is shown that the widely used approach, in which only synchronization patterns are subjected to analysis while desynchronization areas are considered as a background signal and removed from analysis, should be regarded as methodologically incomplete.},
doi = {10.1134/S106377611504010X},
journal = {Journal of Experimental and Theoretical Physics},
issn = {1063-7761},
number = 5,
volume = 120,
place = {United States},
year = {2015},
month = {5}
}