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Title: Non-universal results induced by diversity distribution in coupled excitable systems
Authors: Lafuerza, Luis F., Colet, Pere, Toral, Raúl
Issue Date: 20-Aug-2010
Publisher: American Physical Society
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.
Publisher version (URL): http://dx.doi.org/10.1103/PhysRevLett.105.084101
URI: http://hdl.handle.net/10261/44737
ISSN: 0031-9007
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Citation: Physical Review Letters 105: 084101 (2010)
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