ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Komarov M. A., Osipov G. V. Generation of slow rhythms and sequential activity in ensembles of neuron-like oscillators. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 5, pp. 17-32. DOI: 10.18500/0869-6632-2010-18-5-17-32

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Generation of slow rhythms and sequential activity in ensembles of neuron-like oscillators

Komarov Maksim Andreevich, Lobachevsky State University of Nizhny Novgorod
Osipov Grigorij Vladimirovich, Lobachevsky State University of Nizhny Novgorod

Recent experimental and theoretical studies indicate that slow brain rhythms are generated by simple inhibitory neural networks. Sequential switching of tonic spiking activity is a widespread phenomenon underlying such rhythms. In this paper, we analyze a minimal, reciprocally connected circuit of three spiking units in the cases of different excitability classes of models. It is shown that in both types arising of stable heteroclic contour produces sequentail activation and slow rhythm generation in neural microcircuit. Bifurcation of heteroclinic contour arising is investigated. 

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