Research In Excitable Media
and I have looked at how transients and chaos scale with
system size for a two-dimensional two-field model of an excitable
media that has been studied previously because of the occurrence
of spatiotemporal chaos. The model was developed in the analysis
of heterogeneous catalysis on a metal surface.
and I have investigated two topics related to
Improved numerical methods for simulating excitable media,
including a comparison of explicit versus implicit time
integration methods, and the applications of adaptive
meshing to 2d and 3d simulations.
Mapping out the basins of attraction of complex dynamical
states in semi-quantitative models of heart physiology. This
includes the problem of initiation, how filaments or spirals
are created by physiologically motivated initial conditions
such as stimulation by an electrode.
Henry Greenside's home page |
Department of Physics