Resonant suppression of Turing patterns by periodic illumination - art. no. 026101
                                  Dolnik M, Zhabotinsky AM, Epstein IR
                                       PHYSICAL REVIEW E
                                   6302 (2): 6101-+, Part 2 FEB 2001
Abstract:
We study the resonant behavior of Turing. pattern suppression in a model of the chlorine dioxide-iodine-malonic 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. Square wave
ton-off) 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.