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Anti-phase wave patterns in a ring of electrically coupled oscillatory neurons
Authors:A.S. Dmitrichev  V.I. Nekorkin  R. Behdad  S. Binczak  J.-M. Bilbault
Affiliation: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
Abstract: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.
Keywords:
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