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We find evidence that a certain class of reaction-diffusion systems canexhibit chemical turbulence equivalent to Nikolaevskii turbulence. Thedistinctive characteristic of this type of turbulence is that it results fromthe interaction of weakly stable long-wavelength modes and unstableshort-wavelength modes. We indirectly study this class of reaction-diffusionsystems by considering an extended complex Ginzburg-Landau (CGL) equation thatwas previously derived from this class of reaction-diffusion systems. First, weshow numerically that the power spectrum of this CGL equation in a particularregime is qualitatively quite similar to that of the Nikolaevskii equation.Then, we demonstrate that the Nikolaevskii equation can in fact be obtainedfrom this CGL equation through a phase reduction procedure applied in theneighborhood of a codimension-two Turing--Benjamin-Feir point.Comment: 10 pages, 3 figure

Chemical turbulence equivalent to Nikolavskii turbulence