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Mathematical Biosciences and Engineering

2007, Volume 4, Issue 3: 523-530. doi: 10.3934/mbe.2007.4.523
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Pinning control of spatiotemporal chaos in the LCLV device

  • 1.
    Institute of Physics, Pontifical Catholic University of Valparaíso, 234-0025 Valparaíso
  • 2.
    Departamento de Física y Mat. Aplicada, Universidad de Navarra, 31080 Pamplona
  • 3.
    CNR: Istituto dei Sistemi Complessi, Via Madonna del Piano 10, 50019 Sesto Fiorentino (FI)
  • Received: 01 November 2006 Accepted: 29 June 2018 Published: 01 May 2007

  • MSC : 37D45.

  • We study the feasibility of transferring data in an optical device by using a limited number of parallel channels. By applying a spatially localized correcting term to the evolution of a liquid crystal light valve in its spatio--temporal chaotic regime, we are able to restore the dynamics to a specified target pattern. The system is controlled in a finite time. The number and position of pinning points needed to attain control is also investigated.

    Citation: Carolina Mendoza, Jean Bragard, Pier Luigi Ramazza, Javier Martínez-Mardones, Stefano Boccaletti. Pinning control of spatiotemporal chaos in the LCLV device[J]. Mathematical Biosciences and Engineering, 2007, 4(3): 523-530. doi: 10.3934/mbe.2007.4.523

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  • We study the feasibility of transferring data in an optical device by using a limited number of parallel channels. By applying a spatially localized correcting term to the evolution of a liquid crystal light valve in its spatio--temporal chaotic regime, we are able to restore the dynamics to a specified target pattern. The system is controlled in a finite time. The number and position of pinning points needed to attain control is also investigated.


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  • © 2007 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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