Homogeneously driven dynamical systems exhibit multistability. Depending on the initial conditions, fronts present a rich dynamical behavior between equilibria. Qualitatively, this phenomenology is persistent under spatially modulated forcing. However, the understanding of equilibria and front dynamics organization is not fully established. Here, we investigate these phenomena in the high-wavenumber limit. Based on a model that describes the reorientation transition of a liquid crystal light valve with spatially modulated optical forcing and the homogenization method, equilibria and fronts as a function of forcing parameters are studied. The forcing induces patterns coexisting with the uniform state in regions where the system without forcing is monostable. The front dynamics is characterized theoretically and numerically. Experimental results verify these phenomena and the law describing bistability, showing quite good agreement.
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Research Article|
May 26 2020
Front propagation steered by a high-wavenumber modulation: Theory and experiments
Special Collection:
Instabilities and Nonequilibrium Structures
K. Alfaro-Bittner
;
K. Alfaro-Bittner
a)
1
Departamento de Física, Universidad Técnica Federico Santa María
, Av. España 1680, Casilla 110V, Valparaíso, Chile
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C. Castillo-Pinto
;
C. Castillo-Pinto
2
Departamento de Física and Millennium Institute for Research in Optics, FCFM, Universidad de Chile
, Casilla 487-3, Santiago, Chile
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M. G. Clerc
;
M. G. Clerc
2
Departamento de Física and Millennium Institute for Research in Optics, FCFM, Universidad de Chile
, Casilla 487-3, Santiago, Chile
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G. González-Cortés
;
G. González-Cortés
2
Departamento de Física and Millennium Institute for Research in Optics, FCFM, Universidad de Chile
, Casilla 487-3, Santiago, Chile
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G. Jara-Schulz
;
G. Jara-Schulz
2
Departamento de Física and Millennium Institute for Research in Optics, FCFM, Universidad de Chile
, Casilla 487-3, Santiago, Chile
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R. G. Rojas
R. G. Rojas
3
Instituto de Física, Pontificia Universidad Católica de Valparaíso
, Casilla 4059, Valparaíso, Chile
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a)
Author to whom correspondence should be addressed: karin.alfaro@usm.cl
Note: This article is part of the Focus Issue, instabilities and Nonequilibrium Structures.
Chaos 30, 053138 (2020)
Article history
Received:
February 02 2020
Accepted:
May 04 2020
Citation
K. Alfaro-Bittner, C. Castillo-Pinto, M. G. Clerc, G. González-Cortés, G. Jara-Schulz, R. G. Rojas; Front propagation steered by a high-wavenumber modulation: Theory and experiments. Chaos 1 May 2020; 30 (5): 053138. https://doi.org/10.1063/5.0003519
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