Global Bifurcation Analysis for tindorstruiding and Control of Pattern Dynan-dm

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Oscillatory Reaction-Diffusion systems are studied from the point of bifurcation analysis to understand the various types of spatio-temporal patterns observed in a certain electro-chemical oscillation. It turned out, first, that a nontrivial oscillatory mode becomes observable by virtue of a global negative inhibition. Second, we see that the mode interactions between ±1 modes determine the pattern selection of rotating and standing waves. Moreover, by this bifurcation analysis we can easily control the result of experiments. We also find that this model can be considered as a special case of 3-component reaction-diffusion system which also exhibits so-called wave bifurcation. Mode interaction between Turing and Wave bifurcation is also studied.