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Theory of collective firing induced by noise or diversity in excitable media

AutorTessone, Claudio J.; Scirè, Alessandro ; Toral, Raúl ; Colet, Pere ; Colet, Pere
Palabras claveNonlinear dynamical systems
Fecha de publicación9-ene-2007
EditorAmerican Physical Society
CitaciónPhysical Review E 75, 016203 (2007)
ResumenLarge variety of physical, chemical, and biological systems show excitable behavior, characterized by a nonlinear response under external perturbations: only perturbations exceeding a threshold induce a full system response (firing). It has been reported that in coupled excitable identical systems noise may induce the simultaneous firing of a macroscopic fraction of units. However, a comprehensive understanding of the role of noise and that of natural diversity present in realistic systems is still lacking. Here we develop a theory for the emergence of collective firings in nonidentical excitable systems subject to noise. Three different dynamical regimes arise: subthreshold motion, where all elements remain confined near the fixed point; coherent pulsations, where a macroscopic fraction fire simultaneously; and incoherent pulsations, where units fire in a disordered fashion. We also show that the mechanism for collective firing is generic: it arises from degradation of entrainment originated either by noise or by diversity.
Descripción5 pages.-- PACS numbers: 05.45.Xt, 05.40.-a, 02.50.-r.-- Final full-text of the paper available at: http://dx.doi.org/10.1103/PhysRevE.75.016203.
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