Multi-scaled turbulence in large populations of oscillators in a diffusive medium

Yoshiki Kuramoto, Hiroya Nakao and Dorjsuren Battogtokh

Physica A: Statistical Mechanics and its Applications, 2000, vol. 288, issue 1, 244-264

Abstract: Large populations of oscillatory units distributed densely and uniformly in a diffusive medium exhibit turbulence with multi-scaling properties similar to fully developed fluid turbulence. Unlike the latter, however, the scaling exponents are parameter-dependent, and there exists a critical condition for the onset of individual motion of the oscillators. A three-component reaction-diffusion model is numerically analyzed to demonstrate our assertion. The universality of this type of turbulence which extends far beyond the reaction-diffusion systems is also discussed.

Keywords: Turbulence; Multi-scaling; Reaction-diffusion systems (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:288:y:2000:i:1:p:244-264

DOI: 10.1016/S0378-4371(00)00425-8

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