Resonant suppression of Turing patterns by periodic illumination

Milos Dolnik, Anatol M. Zhabotinsky, Irving R. Epstein
2001 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
We study the resonant behavior of Turing pattern suppression in a model of the chlorine dioxide-iodinemalonic acid reaction with periodic illumination. The results of simulations based on integration of partial differential equations display resonance at the frequency of autonomous oscillations in the corresponding well stirred system. The resonance in Turing pattern suppression is sharper at lower complexing agent concentration and is affected by the waveform of the periodic driving force.
more » ... re wave ͑on-off͒ periodic forcing is more effective in suppressing Turing patterns than sinusoidal forcing. We compare the dynamics of periodically forced Turing patterns with the dynamics of periodically forced nonhomogeneous states in a system of two identical coupled cells. Bifurcation analysis based on numerical continuation of the latter system gives good predictions for the boundaries of the major resonance regions of the periodically forced patterns. We employ the simplified two-variable model ͓20͔ modified to include the effect of illumination ͓11,13͔:
doi:10.1103/physreve.63.026101 pmid:11308536 fatcat:xczgadct6rgxbkbtouia7za7je