Front propagation steered by a high-wavenumber modulation: Theory and experiments

K. Alfaro-Bittner, C. Castillo-Pinto, M. G. Clerc, G. González-Cortés, G. Jara-Schulz, RENE GABRIEL ROJAS CORTES

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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.

Original languageEnglish
Article number0003519
JournalChaos
Volume30
Issue number5
DOIs
StatePublished - 1 May 2020
Externally publishedYes

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