Synchronous Activity in Small Ensembles of Inhibitory Coupled Phi-Neurons

We study the impact of non-identity of elements on patterns of neuron-like activity in a recently proposed simple phenomenological model of the half-center oscillator (HCO). The model consists of two non-identical oscillatory phi-neurons, which are phase equations, interacting via the inhibitory coupling. We investigate different types of synchronized dynamics, such as oscillation death, 0:1 and m:n synchronization in the context of central pattern generators modeling. In our study we focus on bifurcation transitions between these temporal patterns. The obtained results were also generalized to the case of three elements in the ensemble.