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Identical synchronization of a non-autonomous unified chaotic system with continuous periodic switch

In this article a non-autonomous unified chaotic system with continuous periodic switch between the Chen and Lorenz systems is introduced. Dynamical behaviors of this system are investigated. We consider the identical (complete) synchronization of the bi-directionally coupled between two identical s...

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Autores principales: Shooshtari, Behnaz Koocheck, Forouzanfar, AbdolMohammad, Molaei, MohammadReza
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5039164/
https://www.ncbi.nlm.nih.gov/pubmed/27733970
http://dx.doi.org/10.1186/s40064-016-3299-6
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author Shooshtari, Behnaz Koocheck
Forouzanfar, AbdolMohammad
Molaei, MohammadReza
author_facet Shooshtari, Behnaz Koocheck
Forouzanfar, AbdolMohammad
Molaei, MohammadReza
author_sort Shooshtari, Behnaz Koocheck
collection PubMed
description In this article a non-autonomous unified chaotic system with continuous periodic switch between the Chen and Lorenz systems is introduced. Dynamical behaviors of this system are investigated. We consider the identical (complete) synchronization of the bi-directionally coupled between two identical systems of this type and then analyze its stability by estimating the entire Lyapunov characteristic exponent spectrum. Numerical and graphical works are done with Mathematica.
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spelling pubmed-50391642016-10-12 Identical synchronization of a non-autonomous unified chaotic system with continuous periodic switch Shooshtari, Behnaz Koocheck Forouzanfar, AbdolMohammad Molaei, MohammadReza Springerplus Research In this article a non-autonomous unified chaotic system with continuous periodic switch between the Chen and Lorenz systems is introduced. Dynamical behaviors of this system are investigated. We consider the identical (complete) synchronization of the bi-directionally coupled between two identical systems of this type and then analyze its stability by estimating the entire Lyapunov characteristic exponent spectrum. Numerical and graphical works are done with Mathematica. Springer International Publishing 2016-09-27 /pmc/articles/PMC5039164/ /pubmed/27733970 http://dx.doi.org/10.1186/s40064-016-3299-6 Text en © The Author(s) 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Shooshtari, Behnaz Koocheck
Forouzanfar, AbdolMohammad
Molaei, MohammadReza
Identical synchronization of a non-autonomous unified chaotic system with continuous periodic switch
title Identical synchronization of a non-autonomous unified chaotic system with continuous periodic switch
title_full Identical synchronization of a non-autonomous unified chaotic system with continuous periodic switch
title_fullStr Identical synchronization of a non-autonomous unified chaotic system with continuous periodic switch
title_full_unstemmed Identical synchronization of a non-autonomous unified chaotic system with continuous periodic switch
title_short Identical synchronization of a non-autonomous unified chaotic system with continuous periodic switch
title_sort identical synchronization of a non-autonomous unified chaotic system with continuous periodic switch
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5039164/
https://www.ncbi.nlm.nih.gov/pubmed/27733970
http://dx.doi.org/10.1186/s40064-016-3299-6
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