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Earthquake Cycles and Neural Reverberations: Collective Oscillations in Systems with Pulse-Coupled Threshold Elements

1995; American Physical Society; Volume: 75; Issue: 6 Linguagem: Inglês

10.1103/physrevlett.75.1222

1092-0145

Andreas V. M. Herz, J. J. Hopfield,

Neural dynamics and brain function

Driven systems of interconnected blocks with stick-slip friction capture main features of earthquake processes. The microscopic dynamics closely resemble those of spiking nerve cells. We analyze the differences in the collective behavior and introduce a class of solvable models. We prove that the models exhibit rapid phase locking, a phenomenon of particular interest to both geophysics and neurobiology. We study the dependence upon initial conditions and system parameters, and discuss implications for earthquake modeling and neural computation.