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

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Korotkov A. G., Osipov G. V. Sequential activity in neuronal ensembles with excitatory couplings. Izvestiya VUZ. Applied Nonlinear Dynamics, 2013, vol. 21, iss. 5, pp. 92-107. DOI: 10.18500/0869-6632-2013-21-5-92-107

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Sequential activity in neuronal ensembles with excitatory couplings

Korotkov Aleksandr Gennadevich, Lobachevsky State University of Nizhny Novgorod
Osipov Grigorij Vladimirovich, Lobachevsky State University of Nizhny Novgorod

A new model of neurons like elements is suggested in the paper. The model is based on the generalized Lottka–Volterra model with excitatory coupling. The study is motivated by the fact that the excitatory couplings are the dominating type of interactions between neurons in the human brain. It is shown in the paper that there are two regimes exist in such ensemble of oscillators in dependence on the coupling between the elements: the regime with stable heteroclinical cycle and the regime with stable limit cycle.

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