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Average dynamics of a driven set of globally coupled excitable units. 2011

Leandro M Alonso, and Gabriel B Mindlin
Department of Physics, FCEyN, UBA, Ciudad Universitaria, Pab I, cp 1428, Buenos Aires, Argentina.

We investigate the behavior of the order parameter describing the collective dynamics of a large set of driven, globally coupled excitable units. We derive conditions on the parameters of the system that allow to bound the degree of synchrony of its solutions. We describe a regime where time dependent nonsynchronous dynamics occurs and, yet, the average activity displays low dimensional, temporally complex behavior.

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