Novel Results for Asymmetrically Coupled Fractional Neurons
نویسندگان
چکیده
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, k1, k2, show interesting features, such as relaxation oscillations, mixed-mode oscillations, small oscillations, and localized solutions. Moreover, α adds extra complexity to the dynamics of the model. These differences may explain certain differences in processing similar tasks in the human brain.
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تاریخ انتشار 2017