1997/01/13 by √Ålvaro Corral, Alvaro Corral, Conrad J. Pérez +3 · 1 citation
Computer Science · Engineering · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Slime Mold and Myxomycetes Research #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.1103/physrevlett.78.1492
4 pages, RevTex, includes 4 PostScript figures, Phys. Rev. Lett. (in press)
arxiv created 1997/01/13 · openalex publication_date 1997/02/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We have studied the collective behavior of a population of integrate-and-fire oscillators. We show that diversity, introduced in terms of a random distribution of natural periods, is the mechanism that permits one to observe self-organized criticality (SOC) in the long time regime. As diversity increases the system undergoes several transitions from a supercritical regime to a subcritical one, crossing the SOC region. Although there are resemblances with percolation, we give proofs that criticality takes place for a wide range of values of the control parameter instead of a single value.