The European Physical Journal D

, Volume 59, Issue 1, pp 43–51

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

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

DOI: 10.1140/epjd/e2010-00084-9

Cite this article as:
Clerc, M., Haudin, F., Residori, S. et al. Eur. Phys. J. D (2010) 59: 43. doi:10.1140/epjd/e2010-00084-9

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 ϕ4 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.

Copyright information

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

Authors and Affiliations

  • M. G. Clerc
    • 1
  • 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