Dual Synchronization of Fractional-Order Chaotic Systems via a Linear Controller

The problem of the dual synchronization of two different fractional-order chaotic systems is studied. By a linear controller, we realize the dual synchronization of fractional-order chaotic systems. Finally, the proposed method is applied for dual synchronization of Van der Pol-Willis systems and Va...

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Detalles Bibliográficos
Autores principales: Xiao, Jian, Ma, Zhen-zhen, Yang, Ye-hong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3791812/
https://www.ncbi.nlm.nih.gov/pubmed/24163612
http://dx.doi.org/10.1155/2013/159194
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author Xiao, Jian
Ma, Zhen-zhen
Yang, Ye-hong
author_facet Xiao, Jian
Ma, Zhen-zhen
Yang, Ye-hong
author_sort Xiao, Jian
collection PubMed
description The problem of the dual synchronization of two different fractional-order chaotic systems is studied. By a linear controller, we realize the dual synchronization of fractional-order chaotic systems. Finally, the proposed method is applied for dual synchronization of Van der Pol-Willis systems and Van der Pol-Duffing systems. The numerical simulation shows the accuracy of the theory.
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spelling pubmed-37918122013-10-27 Dual Synchronization of Fractional-Order Chaotic Systems via a Linear Controller Xiao, Jian Ma, Zhen-zhen Yang, Ye-hong ScientificWorldJournal Research Article The problem of the dual synchronization of two different fractional-order chaotic systems is studied. By a linear controller, we realize the dual synchronization of fractional-order chaotic systems. Finally, the proposed method is applied for dual synchronization of Van der Pol-Willis systems and Van der Pol-Duffing systems. The numerical simulation shows the accuracy of the theory. Hindawi Publishing Corporation 2013-09-14 /pmc/articles/PMC3791812/ /pubmed/24163612 http://dx.doi.org/10.1155/2013/159194 Text en Copyright © 2013 Jian Xiao et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Xiao, Jian
Ma, Zhen-zhen
Yang, Ye-hong
Dual Synchronization of Fractional-Order Chaotic Systems via a Linear Controller
title Dual Synchronization of Fractional-Order Chaotic Systems via a Linear Controller
title_full Dual Synchronization of Fractional-Order Chaotic Systems via a Linear Controller
title_fullStr Dual Synchronization of Fractional-Order Chaotic Systems via a Linear Controller
title_full_unstemmed Dual Synchronization of Fractional-Order Chaotic Systems via a Linear Controller
title_short Dual Synchronization of Fractional-Order Chaotic Systems via a Linear Controller
title_sort dual synchronization of fractional-order chaotic systems via a linear controller
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3791812/
https://www.ncbi.nlm.nih.gov/pubmed/24163612
http://dx.doi.org/10.1155/2013/159194
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