Fractal Fluctuations and Quantum-Like Chaos in the Brain by Analysis of Variability of Brain Waves: A New Method Based on a Fractal Variance Function and Random Matrix Theory

TL;DR

This paper introduces a novel method combining fractal variance analysis and random matrix theory to analyze EEG brain wave variability, revealing complex fractal and chaotic features in neural signals.

Contribution

The paper presents a new analytical approach for EEG signals using fractal variance functions and random matrix theory, enhancing understanding of brain wave dynamics.

Findings

Demonstrated fractal properties in EEG data

Identified chaotic features in brain wave variability

Provided examples illustrating the method's effectiveness

Abstract

We developed a new method for analysis of fundamental brain waves as recorded by EEG. To this purpose we introduce a Fractal Variance Function that is based on the calculation of the variogram. The method is completed by using Random Matrix Theory. Some examples are given.