Dynamic mechanism of photochemical induction of turing superlattices in the chlorine dioxide-iodine-malonic acid reaction-diffusion system.
We study the mechanism of development of superlattice Turing structures from photochemically generated hexagonal patterns of spots with wavelengths several times larger than the characteristic wavelength of the Turing patterns that spontaneously develop in the nonilluminated system. Comparison of the experiment with numerical simulations shows that interaction of the photochemical periodic forcing with the Turing instability results in generation of multiple resonant triplets of wave vectors, which are harmonics of the external forcing. Some of these harmonics are situated within the Turing instability band and are therefore able to maintain their amplitude as the system evolves and after illumination ceases, while photochemically generated harmonics outside the Turing band tend to decay.
Berenstein
Igal
I
Department of Chemistry and Center for Complex Systems, MS 015, Brandeis University, Waltham, Massachusetts 02454-9110, USA.
Yang
Lingfa
L
Dolnik
Milos
M
Zhabotinsky
Anatol M
AM
Epstein
Irving R
IR