Shaping spiking patterns through synaptic parameters revealed by wavelet bifurcation analysis

Abstract

We investigate different dynamical regimes of a small neuronal circuit. This circuit includes two cells which are interconnected by means of dynamical synapses (excitatory and inhibitory). On the individual level, each neuron is modelled by FitzHugh-Nagumo equations. To analyze complex patterns and transitions between them in this small circuit, we apply wavelet analysis. We show that this tool could be applicable to systems that are difficult to investigate using methods of classical bifurcation analysis.