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

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 spat...

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Bibliographic Details
Published in:The European physical journal. D, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2010-07, Vol.59 (1), p.43-51
Main Authors: Clerc, M. G., Haudin, F., Residori, S., Bortolozzo, U., Rojas, R. G.
Format: Article
Language:English
Subjects:
Applications of Nonlinear Dynamics and Chaos Theory
Atomic
Beams (radiation)
Bistability
Control systems
Liquid crystals
Mathematical models
Molecular
Optical and Plasma Physics
Optical feedback
Physical Chemistry
Physics
Physics and Astronomy
Quantum Information Technology
Quantum Physics
Regular Article
Spectroscopy/Spectrometry
Spintronics
Tilt
Two dimensional
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Summary: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.
ISSN:1434-6060
1434-6079
DOI:10.1140/epjd/e2010-00084-9