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Finding Quasi-Optimal Network Topologies for Information Transmission in Active Networks
This work clarifies the relation between network circuit (topology) and behaviour (information transmission and synchronization) in active networks, e.g. neural networks. As an application, we show how one can find network topologies that are able to transmit a large amount of information, possess a...
Autores principales: | , , |
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Formato: | Texto |
Lenguaje: | English |
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Public Library of Science
2008
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2565798/ https://www.ncbi.nlm.nih.gov/pubmed/18941516 http://dx.doi.org/10.1371/journal.pone.0003479 |
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author | Baptista, Murilo S. de Carvalho, Josué X. Hussein, Mahir S. |
author_facet | Baptista, Murilo S. de Carvalho, Josué X. Hussein, Mahir S. |
author_sort | Baptista, Murilo S. |
collection | PubMed |
description | This work clarifies the relation between network circuit (topology) and behaviour (information transmission and synchronization) in active networks, e.g. neural networks. As an application, we show how one can find network topologies that are able to transmit a large amount of information, possess a large number of communication channels, and are robust under large variations of the network coupling configuration. This theoretical approach is general and does not depend on the particular dynamic of the elements forming the network, since the network topology can be determined by finding a Laplacian matrix (the matrix that describes the connections and the coupling strengths among the elements) whose eigenvalues satisfy some special conditions. To illustrate our ideas and theoretical approaches, we use neural networks of electrically connected chaotic Hindmarsh-Rose neurons. |
format | Text |
id | pubmed-2565798 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2008 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
spelling | pubmed-25657982008-10-22 Finding Quasi-Optimal Network Topologies for Information Transmission in Active Networks Baptista, Murilo S. de Carvalho, Josué X. Hussein, Mahir S. PLoS One Research Article This work clarifies the relation between network circuit (topology) and behaviour (information transmission and synchronization) in active networks, e.g. neural networks. As an application, we show how one can find network topologies that are able to transmit a large amount of information, possess a large number of communication channels, and are robust under large variations of the network coupling configuration. This theoretical approach is general and does not depend on the particular dynamic of the elements forming the network, since the network topology can be determined by finding a Laplacian matrix (the matrix that describes the connections and the coupling strengths among the elements) whose eigenvalues satisfy some special conditions. To illustrate our ideas and theoretical approaches, we use neural networks of electrically connected chaotic Hindmarsh-Rose neurons. Public Library of Science 2008-10-22 /pmc/articles/PMC2565798/ /pubmed/18941516 http://dx.doi.org/10.1371/journal.pone.0003479 Text en Baptista 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 Baptista, Murilo S. de Carvalho, Josué X. Hussein, Mahir S. Finding Quasi-Optimal Network Topologies for Information Transmission in Active Networks |
title | Finding Quasi-Optimal Network Topologies for Information Transmission in Active Networks |
title_full | Finding Quasi-Optimal Network Topologies for Information Transmission in Active Networks |
title_fullStr | Finding Quasi-Optimal Network Topologies for Information Transmission in Active Networks |
title_full_unstemmed | Finding Quasi-Optimal Network Topologies for Information Transmission in Active Networks |
title_short | Finding Quasi-Optimal Network Topologies for Information Transmission in Active Networks |
title_sort | finding quasi-optimal network topologies for information transmission in active networks |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2565798/ https://www.ncbi.nlm.nih.gov/pubmed/18941516 http://dx.doi.org/10.1371/journal.pone.0003479 |
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