The model of Brain Neurodegeneration based on Plykin - Newhouse attractor with Sinusoidal Force |Biomedgrid

A nonlinear dynamic model on a spherical surface is considered, which generates the Plikin-Newhouse attractor. The influence of an external sinusoidal action on the system is studied, the time dependences of dynamic quantities and phase trajectories are obtained for various amplitudes of the external action. The results obtained show that the distribution of the density of phase trajectories is close to the typical distribution of neuronal activity in the brain. With an increase in the amplitude of exposure, the distribution evolves from a distribution typical of a healthy brain to a distribution characteristic of neuronal degeneration.