Fiedler, Bernold; Mantel, Rolf M.

Crossover collision of scroll wave filaments

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

Summary

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

Keywords/Phrases

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

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