Herz, Andreas V. M.; Hopfield, John J.
Earthquake cycles and neural reverberations. Collective oscillations in systems with pulse-coupled threshold elements.
In: Physical review letters, Vol. 75, No. 6: pp. 1222-1225
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.