Burridge-Knopoff Model

The Burridge-Knopoff model is a system of differential equations used to model earthquakes using n points on a straight line, each of mass m, that interact with each other via springs, and in which all masses are subject to a force that is proportional to the distances x_i(t) of the masses from their equilibrium position and to a friction force F(v), where v is the velocity,


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Burridge, R. and Knopoff, L. Bull. Seis. Soc. Amer. 57, 341, Sousa Vieira, M. Phys. Rev. Lett. 82, 201, Sousa Vieira, M. "A Simple Deterministic Self-Organized Critical System." 23 Jan 2000., C. D.; Klein, W.; and Rundle., J. B. Computers Physics 12, 34 1998.Hähner, P. and Drossinos, Y. Physica A 260, 391, 1998.Muratov, C. B. "Traveling Wave Solutions in the Burridge-Knopoff Model." 14 Jan 1999., D. and Villedieu, P. J. Comput. Phys. 150, 332,1999.Webman, I.; Gruver, J. L.; and Havlin, S. "Sliding Objects with Random Friction." 12 Apr 1999., M. The Mathematica GuideBook for Programming. New York: Springer-Verlag, pp. 12-13, 2004., H.-J and Knopoff, L. Phys. Rev. E 50, 3577, 1994.

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Burridge-Knopoff Model

Cite this as:

Weisstein, Eric W. "Burridge-Knopoff Model." From MathWorld--A Wolfram Web Resource.

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