Abstract
This paper presents a chaos neuron model represented by the fractional differential equation as a novel artificial neuron model. This model has an ability of a chaotic response which depends on the differential order and delay term in the dynamics. There is also observed a burst response in a certain parameter of chaotic region. We investigate basic characteristics of the model by some observations such as time-sequential data, bifurcation diagram for the differential order, and Lyapunov exponent analysis to the fractional differential system including delay. The result of the Lyapunov analysis confirms the existence of chaos on the presently proposed neuron model.
