Turbulence and standing waves in oscillatory chemical reactions with global coupling

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Abstract
Using the model of the complex Ginzburg–Landau equation with global coupling, the influence of long‐range interactions on the turbulent state of oscillatory reaction–diffusion systems is investigated. Experimental realizations of such a system are, e.g., oscillatory reactions on single crystal surfaces where some of the phenomena we simulate have been observed experimentally. We find that strong global coupling suppresses turbulence by transforming it into a pattern of standing waves or into uniform oscillations. Weaker global coupling gives rise to an intermittent turbulent state which retains partial synchrony.