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

Andreas V. M. Herz and John J. Hopfield
Phys. Rev. Lett. 75, 1222 – Published 7 August 1995
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Abstract

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.

  • Received 6 October 1994

DOI:https://doi.org/10.1103/PhysRevLett.75.1222

©1995 American Physical Society

Authors & Affiliations

Andreas V. M. Herz1 and John J. Hopfield2

  • 1Beckman Institute, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801
  • 2Divisions of Biology and Chemistry, California Institute of Technology, Pasadena, California 91125

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Vol. 75, Iss. 6 — 7 August 1995

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