Original scientific paper

Results on Fröhlich’s Brain-wave model

Ahmet Ucar ; Department of Electrical-Electronic Engineering, Firat University, Elazig, Turkey
Gerard J. Hyland ; Department of Physics, University of Warwick, Coventry, United Kingdom

Abstract

The study of a mathematical model, i.e. Fröhlich’s Brain-wave model, pertinent to the propagation of brain waves into the Great Membrane, is the focus of interest in this paper. Some new results are presented concerning the response of the system to external stimuli - both ac and dc. In contrast to an earlier claim that a restricted version of the model (containing only 2 degrees of freedom) exhibits a chaos only when the external stimulus contains both ac and dc components we find that ac component alone is sufficient. The extensive bifurcation diagrams of the model are given and the detail of chaotic region is clearly presented for this case.

Keywords

Fröhlich’s Brain-wave model, external stimuli, electroencephalogram, deterministic chaos

Hrčak ID:

318821

URI

https://hrcak.srce.hr/318821

Publication date:

15.6.2000.

Visits: 178 *