Dynamics of Elastic Excitable Media
chao-dyn
2012-07-24 v1 Materials Science
Chaotic Dynamics
Abstract
The Burridge-Knopoff model of earthquake faults with viscous friction is equivalent to a van der Pol-FitzHugh-Nagumo model for excitable media with elastic coupling. The lubricated creep-slip friction law we use in the Burridge-Knopoff model describes the frictional sliding dynamics of a range of real materials. Low-dimensional structures including synchronized oscillations and propagating fronts are dominant, in agreement with the results of laboratory friction experiments. Here we explore the dynamics of fronts in elastic excitable media.
Cite
@article{arxiv.chao-dyn/9905035,
title = {Dynamics of Elastic Excitable Media},
author = {Julyan H. E. Cartwright and Victor M. Eguiluz and Emilio Hernandez-Garcia and Oreste Piro},
journal= {arXiv preprint arXiv:chao-dyn/9905035},
year = {2012}
}
Comments
Int. J. Bifurcation and Chaos, to appear (1999)