Bifurcations in a new two-cell spiking map: a numerical and experimental study

In this paper, a new nonlinear discrete-time map is presented. The map is based on a second-order dynamics that, despite the limited number of parameters, is able to produce a rich dynamical behavior, including the onset of spiking trends. This latter case will be particularly emphasized, since it allows to consider the introduced system as a novel discrete-time model for spiking neurons. The study is performed by using a numerical bifurcation approach. Moreover, the possibility to obtain a spiking behavior using noise is also shown. The implementation of the map using advanced microcontroller units and the obtained experimental results are discussed.

Automated summary

This paper presents a new nonlinear discrete-time map that is able to produce rich dynamical behavior, including the onset of spiking trends. The map is based on a second-order dynamics and can be considered as a novel discrete-time model for spiking neurons. The study uses numerical bifurcation approach and also shows the possibility of obtaining spiking behavior using noise. The implementation of the map using advanced microcontroller units and the obtained experimental results are discussed.