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Wave Spectra
Reaction-diffusion
equations modeling excitable media are simulated ([6,7]).
Initially the spiral rotates periodically about a fixed center. The
tip of the spiral (shown in white) traces a circle around the center
of rotation. The simulation is then stopped and a model parameter is
changed. (Specifically the parameter
which controls the excitability threshold of the system of equations
is changed). The spiral now exhibits a more complex motion known as
meander. The meander is due to a Hopf bifurcation as seen in the
linear stability spectrum.
Model Parameters for
simulation: