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


For citation:

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

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
Russian
Article type: 
Article
UDC: 
530.18

Sequential activity in neuronal ensembles with excitatory couplings

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

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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Received: 
23.04.2013
Accepted: 
09.07.2013
Published: 
31.12.2013
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