Mathematical Biosciences and Engineering (Apr 2007)

Pinning control of spatiotemporal chaos in the LCLV device

  • Carolina Mendoza,
  • Jean Bragard,
  • Pier Luigi Ramazza,
  • Javier Martínez-Mardones,
  • Stefano Boccaletti

DOI
https://doi.org/10.3934/mbe.2007.4.523
Journal volume & issue
Vol. 4, no. 3
pp. 523 – 530

Abstract

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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.

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