6533b85cfe1ef96bd12bcbda

RESEARCH PRODUCT

Anti-phase wave patterns in a ring of electrically coupled oscillatory neurons

Stéphane BinczakAleksei DmitrichevJean-marie BilbaultVladimir I. NekorkinRachid Behdad

subject

PhysicsCollective behaviorDynamics (mechanics)Phase (waves)General Physics and AstronomySpecial classRing (chemistry)01 natural sciences010305 fluids & plasmas[SPI.TRON]Engineering Sciences [physics]/Electronics[ SPI.TRON ] Engineering Sciences [physics]/Electronics010101 applied mathematicsNonlinear systemClassical mechanics0103 physical sciencesGeneral Materials ScienceStatistical physics0101 mathematicsPhysical and Theoretical ChemistryDimensionless quantity

description

International audience; 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.

https://hal.archives-ouvertes.fr/hal-00909693/document