Burridge-Knopoff Models as Elastic Excitable Media
chao-dyn
2016-08-15 v1 Condensed Matter
Chaotic Dynamics
Geophysics
Abstract
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.
Cite
@article{arxiv.chao-dyn/9708008,
title = {Burridge-Knopoff Models as Elastic Excitable Media},
author = {Julyan H. E. Cartwright and Emilio Hernández-García and Oreste Piro},
journal= {arXiv preprint arXiv:chao-dyn/9708008},
year = {2016}
}