P. Delosrios et al., SELF-ORGANIZED CRITICALITY DRIVEN BY DETERMINISTIC RULES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(4), 1997, pp. 4876-4879
We have investigated the essential ingredients allowing a system to sh
ow self-organized criticality (SOC) in its collective behavior. Using
the Bak-Sneppen model of biological evolution as our paradigm, we show
that the random microscopic rules of update can be effectively substi
tuted with a chaotic map without changing the universality class. Usin
g periodic maps SOC is preserved, but in a different universality clas
s, as long as the spectrum of frequencies is broad enough.