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Phys. Rev. Lett. 74, 118–121 (1995)

Self-Organized Criticality and Synchronization in a Lattice Model of Integrate-and-Fire Oscillators

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Álvaro Corral, Conrad J. Pérez, Albert Díaz-Guilera, and Alex Arenas
Department de Física Fonamental, Facultat de Física, Universitat de Barcelona, Diagonal 647, E-08028 Barcelona, Spain

Received 15 June 1994; published in the issue dated 2 January 1995

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.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.74.118
DOI:
10.1103/PhysRevLett.74.118
PACS:
64.60.Ht, 05.90.+m, 87.10.+e