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Spirals in Scalar Reaction-Diffusion Equations

Please always quote using this URN: urn:nbn:de:0297-zib-1720
  • Spiral-like patterns are an often observed phenomenon in chemical experiments such as the Belousov-Zhabotinskii reaction. The talk is concerned with a new PDE model whose solutions have the form of rotating spirals. In contrast to previous approaches it is based on a {\em scalar\/} reaction diffusion equation defined on a disk. A particular choice of boundary conditions leads to a non-selfadjoint operator which permits non-trivial dynamics. We study this equation using a combination of equivariant bifurcation theory and numerical simulations. The latter involves the direct simulation of the time dependent system as well as the computation of rotating waves and their stability.

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Metadaten
Author:Michael Dellnitz, Martin Golubitsky, Andreas Hohmann, Ian Stewart
Document Type:ZIB-Report
Date of first Publication:1995/03/08
Series (Serial Number):ZIB-Report (SC-95-06)
ZIB-Reportnumber:SC-95-06
Published in:Appeared in: Int. J. Bifurcation and Chaos in Appl. Sciences and Engineering 6 (1995) 1487-1501
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