Complex dynamics and self-organized criticality

摘要

Simple models relying on cellular automata may exhibit essential properties of large systems emphasiz- ing self-organized criticality. Using the Bak, Tang, Wiesenfeld (BTW) classical model, the paper studies the transition towards the critical state depending on the initial conditions and aspects of the dynamics at the critical state itself. New representation modes are used as well as fractal analysis of time series attached to the evolution of the system entropy.