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Issue 27, 2011
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Locking of Turing patterns in the chlorine dioxide–iodine–malonic acid reaction with one-dimensional spatial periodic forcing

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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.

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

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Publication details

The article was received on 28 Mar 2011, accepted on 13 May 2011 and first published on 13 Jun 2011


Article type: Paper
DOI: 10.1039/C1CP20949C
Citation: Phys. Chem. Chem. Phys., 2011,13, 12578-12583
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    Locking of Turing patterns in the chlorine dioxide–iodine–malonic acid reaction with one-dimensional spatial periodic forcing

    M. Dolnik, T. Bánsági, S. Ansari, I. Valent and I. R. Epstein, Phys. Chem. Chem. Phys., 2011, 13, 12578
    DOI: 10.1039/C1CP20949C

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