2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80300A 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.4 pages RevTeX, 7 figures PostScript, revised versionChaotic DynamicsAdaptation and Self-Organizing SystemsQuantitative Biologytext