V.N. Biktashev, A.V. Holden
Submitted March 10, 1997. Accepted November 17, 1997
We explain the phenomenon of hypermeander of spiral waves, observed in numerical experiments with various models of excitable media, as a chaotic attractor in the quotient system with respect to the Euclidean group. Such an attractor should lead to a motion of the spiral wave tip analogous to that of a Brownian particle, with mean square of displacement of the tip growing linearly at large times. This prediction is confirmed by numerical experiments with hypermeandering spiral waves.
HTML (sectionwise)