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Self-organized criticality induced by diversity
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We have studied the collective behavior of a population of integrate-and-fire oscillators. We show that diversity, introduced in terms of a random distribution of natural periods, is the mechanism that permits one to observe self-organized criticality (SOC) in the long time regime. As diversity increases the system undergoes several transitions from a supercritical regime to a subcritical one, crossing the SOC region. Although there are resemblances with percolation, we give proofs that criticality takes place for a wide range of values of the control parameter instead of a single value.
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CORRAL, Álvaro, PÉREZ-VICENTE, Conrado and DÍAZ GUILERA, Albert. Self-organized criticality induced by diversity. Physical Review Letters. 1997. Vol. 78, num. 8, pags. 1492-1495. ISSN 0031-9007. [consulted: 12 of October of 2026]. Available at: https://hdl.handle.net/2445/13177