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Image Entropy for the Identification of Chimera States of Spatiotemporal Divergence in Complex Coupled Maps of Matrices

Complex networks of coupled maps of matrices (NCMM) are investigated in this paper. It is shown that a NCMM can evolve into two different steady states—the quiet state or the state of divergence. It appears that chimera states of spatiotemporal divergence do exist in the regions around the boundary...

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Detalles Bibliográficos
Autores principales: Smidtaite, Rasa, Lu, Guangqing, Ragulskis, Minvydas
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7515012/
https://www.ncbi.nlm.nih.gov/pubmed/33267237
http://dx.doi.org/10.3390/e21050523
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author Smidtaite, Rasa
Lu, Guangqing
Ragulskis, Minvydas
author_facet Smidtaite, Rasa
Lu, Guangqing
Ragulskis, Minvydas
author_sort Smidtaite, Rasa
collection PubMed
description Complex networks of coupled maps of matrices (NCMM) are investigated in this paper. It is shown that a NCMM can evolve into two different steady states—the quiet state or the state of divergence. It appears that chimera states of spatiotemporal divergence do exist in the regions around the boundary lines separating these two steady states. It is demonstrated that digital image entropy can be used as an effective measure for the visualization of these regions of chimera states in different networks (regular, feed-forward, random, and small-world NCMM).
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spelling pubmed-75150122020-11-09 Image Entropy for the Identification of Chimera States of Spatiotemporal Divergence in Complex Coupled Maps of Matrices Smidtaite, Rasa Lu, Guangqing Ragulskis, Minvydas Entropy (Basel) Article Complex networks of coupled maps of matrices (NCMM) are investigated in this paper. It is shown that a NCMM can evolve into two different steady states—the quiet state or the state of divergence. It appears that chimera states of spatiotemporal divergence do exist in the regions around the boundary lines separating these two steady states. It is demonstrated that digital image entropy can be used as an effective measure for the visualization of these regions of chimera states in different networks (regular, feed-forward, random, and small-world NCMM). MDPI 2019-05-24 /pmc/articles/PMC7515012/ /pubmed/33267237 http://dx.doi.org/10.3390/e21050523 Text en © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Smidtaite, Rasa
Lu, Guangqing
Ragulskis, Minvydas
Image Entropy for the Identification of Chimera States of Spatiotemporal Divergence in Complex Coupled Maps of Matrices
title Image Entropy for the Identification of Chimera States of Spatiotemporal Divergence in Complex Coupled Maps of Matrices
title_full Image Entropy for the Identification of Chimera States of Spatiotemporal Divergence in Complex Coupled Maps of Matrices
title_fullStr Image Entropy for the Identification of Chimera States of Spatiotemporal Divergence in Complex Coupled Maps of Matrices
title_full_unstemmed Image Entropy for the Identification of Chimera States of Spatiotemporal Divergence in Complex Coupled Maps of Matrices
title_short Image Entropy for the Identification of Chimera States of Spatiotemporal Divergence in Complex Coupled Maps of Matrices
title_sort image entropy for the identification of chimera states of spatiotemporal divergence in complex coupled maps of matrices
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7515012/
https://www.ncbi.nlm.nih.gov/pubmed/33267237
http://dx.doi.org/10.3390/e21050523
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