Self-organized criticality and synchronization in a lattice model of   integrate-and-fire oscillators
  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. 
A. Corral, C.J. Perez, A. Diaz-Guilera, A. Arenas