There are many articles about self-organized criticality (SOC). I have here collected links to some of my online articles on SOC. These articles contain many references, which should lead you further in your study of SOC.

General overview articles

Introduction to self-organized criticality –  part 1

Introduction to self-organized criticality – part 2

Articles about the brain as a critical system

Overview article “The Brain as a critical system”

Detrended fluctuation analysis: A scale-free view on neuronal oscillations

A tutorial on how to identify power-law scaling (Long-Range Temporal Correlations) using Detrended fluctuation analysis

Critical-State dynamics of avalanches and oscillations jointly emerge from balanced excitation/inhibition in neuronal networks

Fast network oscillations in vitro exhibit a slow decay of temporal auto-correlations

Altered temporal correlations in parietal alpha and prefrontal theta oscillations in early-stage Alzheimer disease

Avalanche dynamics of human brain oscillations: relation to critical branching processes and temporal correlations