Novel Results for Asymmetrically Coupled Fractional Neurons

2017 Acta Polytechnica Hungarica  
We consider a fractional-order model of two asymmetrically coupled spiking neurons. The dynamical behavior of the two neurons is modeled by the fractional-order Hodgkin-Huxley equations. Simulations of the model for distinct values of the order of the fractional derivative, α, and of the coupling constants, 1 , 2 , show interesting features, such as relaxation oscillations, mixed-mode oscillations, small oscillations, and localized solutions. Moreover, α adds extra complexity to the dynamics of
more » ... to the dynamics of the model. These differences may explain certain differences in processing similar tasks in the human brain.
doi:10.12700/aph.14.1.2017.1.12 fatcat:kibwtilg3fcnrnhdynkltacw3e