Control and managing of localized states in two-dimensional systems with periodic forcing |
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| Authors: | M G Clerc F Haudin S Residori U Bortolozzo and R G Rojas |
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| Institution: | (1) Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile;(2) Department of Electrical and Electronic Engineering, Faculty of Engineering, Okayama University, Japan;(3) Physics Department, Yerevan St. University 1, A. Manoogian st 375049, Armenia;(4) Institut Non Linéaire de Nice, UMR 6618 CNRS-UNSA, 1361 route des Lucioles, 065600 Valbonne, France;(5) DAMTP-CMS, Wilberforce Road, CB3 0WA Cambridge, UK; |
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| 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. |
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