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We study the earthquake model by Olami, Feder and Christensen in one dimension. While the size distribution of earthquakes resembles a power law for systems with small sizes, it splits for systems with large sizes into two parts, one comprising small avalanches and showing a size-independent cutoff, and the other comprising avalanches of the order of the system size. We identify four different types of attractors of the dynamics of the system, which already exist for very small systems. For larger system sizes, these attractors contain large synchronized regions.