The periodic change of parameters we applied in this work is common in natural biological systems, where parameters having various periods (diurnal, seasonal, yearly) dictated by the environment and biochemical cycle of the organisms. These parameter changes are much more significant than the effect of ﬂuctuations against which the Turing systems are stable.
The first experimental realization of Turing patterns was made in 1991 by the group of Patrick De Kepper in Bordeaux, which made it possible to study many different aspects of this phenomenon. Here we studied the effect of a sinusoidal modulation of the inﬂow rate of one of the reagents in a chemical reaction-diffusion system capable of producing Turing patterns. We found experimentally that periodic forcing can destabilize the pattern developed at a constant inﬂow rate and generate stationary patterns from the no-pattern regime. To support our experimental observations, we performed numerical simulations and semi-analytic linear stability analyses of the system.
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