title: Nonuniversal results induced by diversity distribution in coupled excitable systems.
abstract: We consider a system of globally coupled active rotators near the excitable regime. The system displays a transition to a state of collective firing induced by disorder. We show that this transition is found generically for any diversity distribution with well-defined moments. Singularly, for the Lorentzian distribution (widely used in Kuramoto-like systems) the transition is not present. This warns about the use of Lorentzian distributions to understand the generic properties of coupled oscillators.
authors.affiliation: IFISC, Instituto de Física Interdisciplinar y Sistemas Complejos, CSIC-UIB, Campus UIB, E-07122 Palma de Mallorca, Spain.
authors.forename: Luis F
authors.initials: LF
authors.lastname: Lafuerza
authors.forename: Pere
authors.initials: P
authors.lastname: Colet
authors.forename: Raul
authors.initials: R
authors.lastname: Toral