Are earthquakes an example of deterministic chaos?

Details Are earthquakes an example of deterministic chaos? Are earthquakes an example of deterministic chaos?

Mar 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990georl..17..223h&link_type=abstract

Geophysical Research Letters (ISSN 0094-8276), vol. 17, March 1990, p. 223-226.

Mathematics

57

Chaos, Earthquakes, Seismology, Branching (Mathematics), Equations Of Motion, Iterative Solution, Time Dependence

Scientific paper

A simple mass-spring model is used to systematically examine the dynamical behavior introduced by fault zone heterogeneities. The model consists of two sliding blocks coupled to each other and to a constant velocity driver by elastic springs. The state of this system can be characterized by the positions of the two blocks relative to the driver. A simple static/dynamic friction law is used. When the system is symmetric, cyclic behavior is observed. For an asymmetric system, where the frictional forces for the two blocks are not equal, the solutions exhibit deterministic chaos. Chaotic windows occur repeatedly between regions of limit cycles on bifurcation diagrams. The model behavior is similar to that of the one-dimensional logistic map. The results provide substantial evidence that earthquakes are an example of deterministic chaos.

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