Onset of Collective Oscillation in Chemical Turbulence under Global Feedback

Abstract

Preceding the complete suppression of chemical turbulence by means of global feedback, a different universal type of transition, which is characterized by the emergence of small-amplitude collective oscillation with strong turbulent background, is shown to occur at much weaker feedback intensity. We illustrate this fact numerically in combination with a phenomenological argument based on the complex Ginzburg-Landau equation with global feedback.

6 pages, 8 figures; to appear in Phys. Rev. E