1995/09/01 by Yoshio Kuramoto, Y. Kuramoto · 2 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Nonlinear Dynamics and Pattern Formation #stochastic dynamics and bifurcation
paper · pdf · doi:10.1143/ptp.94.321
crossref issued 1995/09/01 · crossref published 1995/09/01 · crossref published-print 1995/09/01 · openalex publication_date 1995/09/01 · crossref created 2005/02/21 · crossref deposited 2017/08/24 · openalex created_date 2025/10/10 · crossref indexed 2026/07/28 · openalex updated_date 2026/07/29
A general class of models is proposed for populations of biologically oscillating cells secreting substance whose rapid diffusion mediates the cell-cell interaction. Under certain conditions, such models are reduced to a system of non-locally coupled oscillators of the Ginzburg-Landau type. The last model in space dimension one is analyzed numerically, and some remarkable features of the turbulence generated are revealed. In particular, the correlations and fluctuations obey a power law similar to the one in the fully-devleoped Navier-Stokes turbulence except that our exponents change continuously with the coupling strength.