https://doi.org/10.1140/epjst/e2013-02043-6
Regular Article
Anti-phase wave patterns in a ring of electrically coupled oscillatory neurons
1 Institute of Applied Physics of RAS, 46 Uljanov Str., 603950 Nizhny Novgorod, Russia
2 Lobachevsky State University of Nizhny Novgorod, National Research University, 23 Prospekt Gagarina, 603950 Nizhny Novgorod, Russia
3 LE2I CNRS UMR 6306, University of Burgundy, BP. 47870, 21078 Dijon, France
a e-mail: admitry@neuron.appl.sci-nnov.ru
Received: 16 July 2013
Revised: 13 August 2013
Published online: 28 October 2013
Space-time dynamics of the network system modeling collective behavior of electrically coupled nonlinear cells is investigated. The dynamics of a local cell is described by the dimensionless Morris–Lecar system. It is shown that such a system yields a special class of traveling localized collective activity so called “anti-phase wave patterns”. The mechanisms of formation of the patterns are discussed and the region of their existence is obtained by using the weakly coupled oscillators theory.
© EDP Sciences, Springer-Verlag, 2013
