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Phys. Rev. Lett. 75, 1222–1225 (1995)

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

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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

Received 6 October 1994; published in the issue dated 7 August 1995

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.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.75.1222
DOI:
10.1103/PhysRevLett.75.1222
PACS:
87.10.+e, 05.20.-y, 64.60.Cn, 91.30.Px