Burridge-Knopoff Model

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

REFERENCES:

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de Sousa Vieira, M. Phys. Rev. Lett. 82, 201, 1999.

de Sousa Vieira, M. "A Simple Deterministic Self-Organized Critical System." 23 Jan 2000. http://arxiv.org/abs/cond-mat/9907201.

Ferguson, 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. http://arxiv.org/abs/patt-sol/9901003.

Place, 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. http://arxiv.org/abs/cond-mat/9904148.

Trott, M. The Mathematica GuideBook for Programming. New York: Springer-Verlag, pp. 12-13, 2004. http://www.mathematicaguidebooks.org/.

Xu, H.-J and Knopoff, L. Phys. Rev. E 50, 3577, 1994.