DYNAMICS OF ELASTIC EXCITABLE MEDIA

Author:

CARTWRIGHT JULYAN H. E.1,EGUÍLUZ VÍCTOR M.2,HERNÁNDEZ-GARCÍA EMILIO2,PIRO ORESTE2

Affiliation:

1. Instituto Andaluz de Ciencias de la Tierra, IACT (CSIC-UGR), E-18071 Granada, Spain

2. Institut Mediterrani d'Estudis Avançats, IMEDEA (CSIC–UIB), E-07071 Palma de Mallorca, Spain

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 Burridge–Knopoff model describes the frictional sliding dynamics of a range of real materials. Low-dimensional structures including synchronous 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

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