Chemical turbulence equivalent to Nikolavskii turbulence.
We find evidence that a certain class of reaction-diffusion (RD) systems can exhibit chemical turbulence equivalent to Nikolaevskii turbulence. We study an extended complex Ginzburg-Landau (CGL) equation derived from this class of RD systems. First, we show numerically that the power spectrum of this CGL equation, in the neighborhood of a codimension-two Turing-Benjamin-Feir point, is qualitatively quite similar to that of the Nikolaevskii equation. Then, we demonstrate that the Nikolaevskii equation can in fact be obtained from this CGL equation through a phase reduction procedure.
Department of Physics, Graduate School of Sciences, Kyoto University, Kyoto 606-8502, Japan. dan@ton.scphys.kyoto-u.ac.jp
Dan
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Tanaka