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Self-organized criticality and synchronization in a lattice model of integrate-and-fire oscillators

A. Corral·C. J. Perez·A. Diaz-Guilera·A. Arenas
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Abstract

We introduce two coupled map lattice models with nonconservative interactions and a continuous nonlinear driving. Depending on both the degree of conservation and the convexity of the driving we find different behaviors, ranging from self-organized criticality, in the sense that the distribution of events (avalanches) obeys a power law, to a macroscopic synchronization of the population of oscillators, with avalanches of the size of the system.

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A. Corral, C. J. Perez, A. Diaz-Guilera, A. Arenas. 1994-11-23. Self-organized criticality and synchronization in a lattice model of integrate-and-fire oscillators. https://doi.org/10.1103/physrevlett.74.118

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