Sаmе peculiarities оf synchronization under changing thе connection structure in small model neuron ensembles, described by piecewise continuous maps and piecewise discontinuous maps

Abstract

The piecewise-linear stochastic map, the piecewise-continuous dynamic map and piecewise-discontinuous dynamic map, for electrical activity modeling of neuron are proposed. These maps are constructed using the phenomenological notions of biological neuron dynamics. Advantages and limitations of the proposed maps are discussed. The behaviour оf small model neuron ensembles оn the parameters plane is investigated. Considerable dependence between the synchronization degree and the topology of neuron ensemble is shown.