SELF-ORGANIZED CRITICALITY DRIVEN BY DETERMINISTIC RULES

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.