Fiedler, Bernold; Mantel, Rolf M.

Crossover collision of scroll wave filaments

Doc. Math., J. DMV 5, 695-731 (2000)


Summary: Scroll waves are three-dimensional stacks of rotating spiral waves, with spiral tips aligned along filament curves. Such spatio-temporal patterns arise, for example, in reaction diffusion systems of excitable media type.

Mathematics Subject Classification

35B05, 35B30, 35K40, 35K55, 35K57, 37C20


parabolic systems, scroll wave patterns, scroll wave filaments, spirals, excitable media, crossover collision, singularity theory, thom transversality, backwards uniqueness, video