Locking of Turing patterns in the chlorine dioxide–iodine–malonic acid reaction with one-dimensional spatial periodic forcing
Literature Information
Milos Dolnik, Tamás Bánsági, Jr., Sama Ansari, Irving R. Epstein
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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