Burridge-Knopoff Models as Elastic Excitable Media

Burridge-Knopoff models as elastic excitable media

We construct a model of an excitable medium with elastic rather than the usual
diffusive coupling. We explore the dynamics of elastic excitable media, which
we find to be dominated by low dimensional structures, including global
oscillations, period-doubled pacemakers, and propagating fronts. We suggest
that examples of elastic excitable media are to be found in such diverse physical
systems as Burridge-Knopoff models of frictional sliding, electronic
transmission lines, and active optical waveguides.


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