TY - JOUR
T1 - Front propagation steered by a high-wavenumber modulation
T2 - Theory and experiments
AU - Alfaro-Bittner, K.
AU - Castillo-Pinto, C.
AU - Clerc, M. G.
AU - González-Cortés, G.
AU - Jara-Schulz, G.
AU - ROJAS CORTES, RENE GABRIEL
N1 - Publisher Copyright:
© 2020 Author(s).
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/5/1
Y1 - 2020/5/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85086062627&partnerID=8YFLogxK
U2 - 10.1063/5.0003519
DO - 10.1063/5.0003519
M3 - Article
C2 - 32491917
AN - SCOPUS:85086062627
VL - 30
JO - Chaos
JF - Chaos
SN - 1054-1500
IS - 5
M1 - 0003519
ER -