Dynamics of elastic excitable media

By Julyan H. E. Cartwright, Víctor M. Eguíluz, Emilio Hernández-García, Oreste Piro. 1999

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.

Citations in the corpus

• Control functionals for Monte Carlo integration (2014, neutral): “r Pol oscillator (van der Pol, 1926), a non-conservative oscillator with non-linear damping that has classical modelling applications in elds ranging from neuroscience (FitzHugh, 1961) to seismology (Cartwright et al., 1999). Here a position x(s) 2R evolves in time saccording to the second order die”