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: A link with El Naschie fractal Cantorian space–time and V. Weiss and H. Weiss golden ratio in brain

Elio Conte,Andrei Khrennikov,Antonio Federici,Joseph P Zbilut

doi:10.1016/j.chaos.2008.10.016

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: A link with El Naschie fractal Cantorian space–time and V. Weiss and H. Weiss golden ratio in brain

Elio Conte, Andrei Khrennikov + Show 2 more

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https://doi.org/10.1016/j.chaos.2008.10.016

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Journal: Chaos, Solitons and Fractals	Publication Date: Dec 2, 2008
Citations: 35

Affiliation: Rush University Medical Center, Polytechnic University of Bari, University of Bari Aldo Moro

#Random Matrix #Fractal Fluctuations + Show 8 more

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Abstract

We develop a new method for analysis of fundamental brain waves as recorded by the 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. We also discuss the link of such formulation with H. Weiss and V. Weiss golden ratio found in the brain, and with El Naschie fractal Cantorian space–time theory.

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