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The European Physical Journal D

, Volume 59, Issue 1, pp 43–51 | Cite as

Control and managing of localized states in two-dimensional systems with periodic forcing

  • M. G. ClercEmail author
  • F. Haudin
  • S. Residori
  • U. Bortolozzo
  • R. G. Rojas
Regular Article

Abstract

We study the formation of localized structures in two-dimensional systems with periodic forcing, showing that these types of systems provide an adequate framework for the study and control of localized structures. Theoretically, we introduce a dissipative ϕ 4 model as a prototype for a bistable spatially forced system, and we show that with different spatial forcings of small amplitudes, such as square or hexagonal grids, this model exhibits a family of localized structures. By changing the forcing parameters, we control the bistability between the various induced patterns. Experimentally, based on an optical feedback with spatially amplitude-modulated beam, we set-up a two-dimensional forced experiment in a nematic liquid crystal cell. By changing the forcing parameters, the system exhibits a family of localized structures that are confirmed by numerical simulations for the average liquid crystal tilt angle.

Keywords

Liquid Crystal Localize Structure Homoclinic Orbit Force Parameter Spatial Light Modulator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • M. G. Clerc
    • 1
    Email author
  • F. Haudin
    • 2
  • S. Residori
    • 2
  • U. Bortolozzo
    • 2
  • R. G. Rojas
    • 3
  1. 1.Departmento de Física, FCFMUniversidad de ChileSantiagoChile
  2. 2.INLN, Université de Nice Sophia-Antipolis, CNRSValbonneFrance
  3. 3.Instituto de Física, Pontificia Universidad Católica de ValparaísoValparaísoChile

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