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

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

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 f4 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.

Original languageEnglish
Pages (from-to)43-51
Number of pages9
JournalEuropean Physical Journal D
Volume59
Issue number1
DOIs
StatePublished - Jul 2010
Externally publishedYes

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