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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...

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Autores principales: Martínez-Llinàs, Jade, Porte, Xavier, Soriano, Miguel C., Colet, Pere, Fischer, Ingo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Pub. Group 2015
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.
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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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