The authors present an overview of ongoing studies of the rich dynamic
al behavior of the uniform, deterministic Burridge-Knopoff model of an
earthquake fault, discussing the model's behavior in the context of c
urrent seismology. The topics considered include: (1) basic properties
of the model, such as the distinction between small and large events
and the magnitude vs frequency distribution; (2) dynamics of individua
l events, including dynamical selection of rupture propagation speeds;
(3) generalizations of the model to more realistic, higher-dimensiona
l models; and (4) studies of predictability, in which artificial catal
ogs generated by the model are used to test and determine the limitati
ons of pattern recognition algorithms used in seismology.