Using of Phenomenological Piecewise Continuous Map for Modeling of   Neurons Behaviour
  A piecewise continuous map for modeling bursting and spiking behaviour of isolated neuron is proposed. The map was created from phenomenological viewpoint. The map demonstrates oscillations, which are qualitatively similar to oscillations generating by Rose-Hindmarsh model. The synchronization in small ensembles of the maps is investigated. It is considered the different number of elements in the ensemble and different connectivity topologies. 
K.V. Andreev (Saratov State University, Russia) and L.V. Krasichkov   (Saratov State University, Russia)