Pinning control of spatiotemporal chaos in the LCLV device

We study the feasibility of transferring data in an opticaldevice by using a limited number of parallel channels.By applying a spatially localized correcting term to theevolution of a liquid crystal light valve in its spatio--temporalchaotic regime, we are able to restore the dynamics to a specifie...

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Main Authors: Carolina Mendoza, Jean Bragard, Pier Luigi Ramazza, Javier Martínez-Mardones, Stefano Boccaletti
Format: Article
Language:English
Published: AIMS Press 2007-04-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.523
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author Carolina Mendoza
Jean Bragard
Pier Luigi Ramazza
Javier Martínez-Mardones
Stefano Boccaletti
author_facet Carolina Mendoza
Jean Bragard
Pier Luigi Ramazza
Javier Martínez-Mardones
Stefano Boccaletti
author_sort Carolina Mendoza
collection DOAJ
description We study the feasibility of transferring data in an opticaldevice by using a limited number of parallel channels.By applying a spatially localized correcting term to theevolution of a liquid crystal light valve in its spatio--temporalchaotic regime, we are able to restore the dynamics to a specifiedtarget pattern. The system is controlledin a finite time. The number and position of pinning pointsneeded to attain control is also investigated.
format Article
id doaj-art-e1f5435e40ae4cb58485ac85fe1f9dca
institution Kabale University
issn 1551-0018
language English
publishDate 2007-04-01
publisher AIMS Press
record_format Article
series Mathematical Biosciences and Engineering
spelling doaj-art-e1f5435e40ae4cb58485ac85fe1f9dca2025-01-24T01:53:48ZengAIMS PressMathematical Biosciences and Engineering1551-00182007-04-014352353010.3934/mbe.2007.4.523Pinning control of spatiotemporal chaos in the LCLV deviceCarolina Mendoza0Jean Bragard1Pier Luigi Ramazza2Javier Martínez-Mardones3Stefano Boccaletti4Institute of Physics, Pontifical Catholic University of Valparaíso, 234-0025 ValparaísoInstitute of Physics, Pontifical Catholic University of Valparaíso, 234-0025 ValparaísoInstitute of Physics, Pontifical Catholic University of Valparaíso, 234-0025 ValparaísoInstitute of Physics, Pontifical Catholic University of Valparaíso, 234-0025 ValparaísoInstitute of Physics, Pontifical Catholic University of Valparaíso, 234-0025 ValparaísoWe study the feasibility of transferring data in an opticaldevice by using a limited number of parallel channels.By applying a spatially localized correcting term to theevolution of a liquid crystal light valve in its spatio--temporalchaotic regime, we are able to restore the dynamics to a specifiedtarget pattern. The system is controlledin a finite time. The number and position of pinning pointsneeded to attain control is also investigated.https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.523lclv system.chaos
spellingShingle Carolina Mendoza
Jean Bragard
Pier Luigi Ramazza
Javier Martínez-Mardones
Stefano Boccaletti
Pinning control of spatiotemporal chaos in the LCLV device
Mathematical Biosciences and Engineering
lclv system.
chaos
title Pinning control of spatiotemporal chaos in the LCLV device
title_full Pinning control of spatiotemporal chaos in the LCLV device
title_fullStr Pinning control of spatiotemporal chaos in the LCLV device
title_full_unstemmed Pinning control of spatiotemporal chaos in the LCLV device
title_short Pinning control of spatiotemporal chaos in the LCLV device
title_sort pinning control of spatiotemporal chaos in the lclv device
topic lclv system.
chaos
url https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.523
work_keys_str_mv AT carolinamendoza pinningcontrolofspatiotemporalchaosinthelclvdevice
AT jeanbragard pinningcontrolofspatiotemporalchaosinthelclvdevice
AT pierluigiramazza pinningcontrolofspatiotemporalchaosinthelclvdevice
AT javiermartinezmardones pinningcontrolofspatiotemporalchaosinthelclvdevice
AT stefanoboccaletti pinningcontrolofspatiotemporalchaosinthelclvdevice