Locking of Turing patterns in the chlorine dioxide–iodine–malonic acid reaction with one-dimensional spatial periodic forcing

Dolnik, Milos, Bánsági, Tamás, Ansari, Sama, Valent, Ivan and Epstein, Irving R. (2011) Locking of Turing patterns in the chlorine dioxide–iodine–malonic acid reaction with one-dimensional spatial periodic forcing. Physical Chemistry Chemical Physics, 2011 (13), 12578-12583. (doi:10.1039/c1cp20949c).

Abstract

We use the photosensitive chlorine dioxide–iodine–malonic acid reaction–diffusion system to study wavenumber locking of Turing patterns with spatial periodic forcing. Wavenumber-locked stripe patterns are the typical resonant structures that labyrinthine patterns exhibit in response to one-dimensional forcing by illumination when images of stripes are projected on a working medium. Our experimental results reveal that segmented oblique, hexagonal and rectangular patterns can also be obtained. However, these two-dimensional resonant structures only develop in a relatively narrow range of forcing parameters, where the unforced stripe pattern is in close proximity to the domain of hexagonal patterns. Numerical simulations based on a model that incorporates the forcing by illumination using an additive term reproduce well the experimental observations. These findings confirm that additive one-dimensional forcing can generate a two-dimensional resonant response. However, such a response is considerably less robust than the effect of multiplicative forcing.

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Contributors

Author: Tamás Bánsági

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