American Institute of Mathematical Sciences

Advanced
2007, 4(3): 523-530. doi: 10.3934/mbe.2007.4.523

Pinning control of spatiotemporal chaos in the LCLV device

Carolina Mendoza 1, , Jean Bragard 2, , Pier Luigi Ramazza 3, , Javier Martínez-Mardones 1, and  Stefano Boccaletti 3,

1. 

Institute of Physics, Pontifical Catholic University of Valparaíso, 234-0025 Valparaíso, Chile, Chile
2. 

Departamento de Física y Mat. Aplicada, Universidad de Navarra, 31080 Pamplona, Spain
3. 

CNR: Istituto dei Sistemi Complessi, Via Madonna del Piano 10, 50019 Sesto Fiorentino (FI), Italy, Italy

Received  November 2006 Revised  April 2007 Published  May 2007

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.
Keywords: LCLV system., chaos.
Mathematics Subject Classification: 37D4.
Citation: Carolina Mendoza, Jean Bragard, Pier Luigi Ramazza, Javier Martínez-Mardones, Stefano Boccaletti. Pinning control of spatiotemporal chaos in the LCLV device. Mathematical Biosciences & Engineering, 2007, 4 (3) : 523-530. doi: 10.3934/mbe.2007.4.523
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