|
|||||
|
|
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 |
|
| Authors: | Elio Conte Andrei Khrennikov Antonio Federici Joseph P Zbilut |
| Institution: | 1. Aix-Marseille Université, UMR 7345 CNRS, Physique des interactions ioniques et moléculaires, campus Saint-Jérôme, case 322, av. esc. Normandie-Niemen, Marseille cedex 20 FR-13397, France;2. Departamento de Física, Universidade Federal Rural de Pernambuco, Rua Manoel de Medeiros, s/n - Dois Irmãos, Recife 52171-900, Brazil;3. Instituto de Física and International Center for Condensed Matter Physics, Universidade de Brasília, CP 04455, Brasília 70919-970, Brazil;4. International Center for Condensed Matter Physics, Universidade de Brasília, CP 04455, Brasília 70919-970, Brazil;1. Centrum Leo Apostel (CLEA), Vrije Universiteit Brussel, Brussels 1050, Belgium;2. Wydzia? Fizyki Technicznej i Matematyki Stosowanej, Politechnika Gdańska, Gdańsk 80233, Poland |
| 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. |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ | |