Multi-scaled turbulence in large populations of oscillators in a diffusivemedium

Large populations of oscillatory units distributed densely and uniformly in a diffusive medium exhibit turbulence with multi-scaling properties simila r to fully developed fluid turbulence. Unlike the latter, however, the scal ing exponents are parameter-dependent, and there exists a critical conditio n for the onset of individual motion of the oscillators. A three-component reaction-diffusion model is numerically analyzed to demonstrate our asserti on. The universality of this type of turbulence which extends far beyond th e reaction-diffusion systems is also discussed. (C) 2000 Elsevier Science B .V. All rights reserved.