Pinning control of spatiotemporal chaos in the LCLV device

2007, Volume 4, Issue 3: 523-530. doi: 10.3934/mbe.2007.4.523

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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.
- LCLV system.,
- chaos
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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Abstract

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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