Nonlinear Phenomena in Complex Systems, 2003, Vol.6, No.1, pp.556-562

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2003, Vol.6, No.1, pp.556-562

Using of Phenomelogical Piecewise Continuous Maps for Simulation of Neurons Behavior
K.V. Andreev and L.V. Krasichkov

Piecewise linear stochastic and piecewise continuous dynamic maps for modeling bursting and spiking behaviour of isolated neuron are proposed. The maps were created from phenomenological viewpoint. The maps demonstrate 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.
Key words: neuron, map, synchronization, ensemble, topology

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