Adaptive Cluster Synchronization of Directed Complex Networks with Time Delays

This paper studied the cluster synchronization of directed complex networks with time delays. It is different from undirected networks, the coupling configuration matrix of directed networks cannot be assumed as symmetric or irreducible. In order to achieve cluster synchronization, this paper uses a...

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Detalles Bibliográficos
Autores principales: Liu, Heng, Wang, Xingyuan, Tan, Guozhen
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3999034/
https://www.ncbi.nlm.nih.gov/pubmed/24763228
http://dx.doi.org/10.1371/journal.pone.0095505
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author Liu, Heng
Wang, Xingyuan
Tan, Guozhen
author_facet Liu, Heng
Wang, Xingyuan
Tan, Guozhen
author_sort Liu, Heng
collection PubMed
description This paper studied the cluster synchronization of directed complex networks with time delays. It is different from undirected networks, the coupling configuration matrix of directed networks cannot be assumed as symmetric or irreducible. In order to achieve cluster synchronization, this paper uses an adaptive controller on each node and an adaptive feedback strategy on the nodes which in-degree is zero. Numerical example is provided to show the effectiveness of main theory. This method is also effective when the number of clusters is unknown. Thus, it can be used in the community recognizing of directed complex networks.
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spelling pubmed-39990342014-04-29 Adaptive Cluster Synchronization of Directed Complex Networks with Time Delays Liu, Heng Wang, Xingyuan Tan, Guozhen PLoS One Research Article This paper studied the cluster synchronization of directed complex networks with time delays. It is different from undirected networks, the coupling configuration matrix of directed networks cannot be assumed as symmetric or irreducible. In order to achieve cluster synchronization, this paper uses an adaptive controller on each node and an adaptive feedback strategy on the nodes which in-degree is zero. Numerical example is provided to show the effectiveness of main theory. This method is also effective when the number of clusters is unknown. Thus, it can be used in the community recognizing of directed complex networks. Public Library of Science 2014-04-24 /pmc/articles/PMC3999034/ /pubmed/24763228 http://dx.doi.org/10.1371/journal.pone.0095505 Text en © 2014 Liu et al http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.
spellingShingle Research Article
Liu, Heng
Wang, Xingyuan
Tan, Guozhen
Adaptive Cluster Synchronization of Directed Complex Networks with Time Delays
title Adaptive Cluster Synchronization of Directed Complex Networks with Time Delays
title_full Adaptive Cluster Synchronization of Directed Complex Networks with Time Delays
title_fullStr Adaptive Cluster Synchronization of Directed Complex Networks with Time Delays
title_full_unstemmed Adaptive Cluster Synchronization of Directed Complex Networks with Time Delays
title_short Adaptive Cluster Synchronization of Directed Complex Networks with Time Delays
title_sort adaptive cluster synchronization of directed complex networks with time delays
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3999034/
https://www.ncbi.nlm.nih.gov/pubmed/24763228
http://dx.doi.org/10.1371/journal.pone.0095505
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AT wangxingyuan adaptiveclustersynchronizationofdirectedcomplexnetworkswithtimedelays
AT tanguozhen adaptiveclustersynchronizationofdirectedcomplexnetworkswithtimedelays

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