Bottom-up model of self-organized criticality on networks

Bottom-up model of self-organized criticality on networks.

The Bak-Tang-Wiesenfeld (BTW) sandpile process is an archetypal, stylized model of complex systems with a critical point as an attractor of their dynamics. This phenomenon, called self-organized criticality, appears to occur ubiquitously in both nature and technology. Initially introduced on the two-dimensional lattice, the BTW process has been studied on network structures with great analytica...

Self-organized criticality in adaptive neural networks

Controlling self-organized criticality in complex networks

A control scheme to reduce the size of avalanches of the Bak-TangWiesenfeld model on complex networks is proposed. Three network types are considered: those proposed by Erdős-Renyi, Goh-KahngKim, and a real network representing the main connections of the electrical power grid of the western United States. The control scheme is based on the idea of triggering avalanches in the highest degree no...

Self-Organized Criticality in Developing Neuronal Networks

Recently evidence has accumulated that many neural networks exhibit self-organized criticality. In this state, activity is similar across temporal scales and this is beneficial with respect to information flow. If subcritical, activity can die out, if supercritical epileptiform patterns may occur. Little is known about how developing networks will reach and stabilize criticality. Here we monito...

Creutz ON SELF ORGANIZED CRITICALITY

"Self organized criticality" describes the tendency of strongly dissipative systems to show relaxation behavior involving a wide range of length and time scales .[1] The phenomenon is expected to be quite universal ; indeed, it has been looked for in such diverse areas as earthquake structure[2] and economics.[3] The idea provides an unifying concept for large scale behavior in systems with man...