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Dynamical properties induced by state-dependent delays in photonic systems
In many dynamical systems and complex networks time delays appear naturally in feedback loops or coupling connections of individual elements. Moreover, in a whole class of systems, these delay times can depend on the state of the system. Nevertheless, so far the understanding of the impact of such s...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Pub. Group
2015
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4557356/ https://www.ncbi.nlm.nih.gov/pubmed/26081000 http://dx.doi.org/10.1038/ncomms8425 |
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author | Martínez-Llinàs, Jade Porte, Xavier Soriano, Miguel C. Colet, Pere Fischer, Ingo |
author_facet | Martínez-Llinàs, Jade Porte, Xavier Soriano, Miguel C. Colet, Pere Fischer, Ingo |
author_sort | Martínez-Llinàs, Jade |
collection | PubMed |
description | In many dynamical systems and complex networks time delays appear naturally in feedback loops or coupling connections of individual elements. Moreover, in a whole class of systems, these delay times can depend on the state of the system. Nevertheless, so far the understanding of the impact of such state-dependent delays remains poor with a particular lack of systematic experimental studies. Here we fill this gap by introducing a conceptually simple photonic system that exhibits dynamics of self-organised switching between two loops with two different delay times, depending on the state of the system. On the basis of experiments and modelling on semiconductor lasers with frequency-selective feedback mirrors, we characterize the switching between the states defined by the individual delays. Our approach opens new perspectives for the study of this class of dynamical systems and enables applications in which the self-organized switching can be exploited. |
format | Online Article Text |
id | pubmed-4557356 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2015 |
publisher | Nature Pub. Group |
record_format | MEDLINE/PubMed |
spelling | pubmed-45573562015-09-11 Dynamical properties induced by state-dependent delays in photonic systems Martínez-Llinàs, Jade Porte, Xavier Soriano, Miguel C. Colet, Pere Fischer, Ingo Nat Commun Article In many dynamical systems and complex networks time delays appear naturally in feedback loops or coupling connections of individual elements. Moreover, in a whole class of systems, these delay times can depend on the state of the system. Nevertheless, so far the understanding of the impact of such state-dependent delays remains poor with a particular lack of systematic experimental studies. Here we fill this gap by introducing a conceptually simple photonic system that exhibits dynamics of self-organised switching between two loops with two different delay times, depending on the state of the system. On the basis of experiments and modelling on semiconductor lasers with frequency-selective feedback mirrors, we characterize the switching between the states defined by the individual delays. Our approach opens new perspectives for the study of this class of dynamical systems and enables applications in which the self-organized switching can be exploited. Nature Pub. Group 2015-06-17 /pmc/articles/PMC4557356/ /pubmed/26081000 http://dx.doi.org/10.1038/ncomms8425 Text en Copyright © 2015, Nature Publishing Group, a division of Macmillan Publishers Limited. All Rights Reserved. http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article's Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
spellingShingle | Article Martínez-Llinàs, Jade Porte, Xavier Soriano, Miguel C. Colet, Pere Fischer, Ingo Dynamical properties induced by state-dependent delays in photonic systems |
title | Dynamical properties induced by state-dependent delays in photonic systems |
title_full | Dynamical properties induced by state-dependent delays in photonic systems |
title_fullStr | Dynamical properties induced by state-dependent delays in photonic systems |
title_full_unstemmed | Dynamical properties induced by state-dependent delays in photonic systems |
title_short | Dynamical properties induced by state-dependent delays in photonic systems |
title_sort | dynamical properties induced by state-dependent delays in photonic systems |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4557356/ https://www.ncbi.nlm.nih.gov/pubmed/26081000 http://dx.doi.org/10.1038/ncomms8425 |
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