Abstract

Spiral waves can be found in various chemical systems, for example in the Belousov–Zhabotinsky-reaction and in the catalysis on platinum surfaces. Such systems can be modelled by reaction-diffusion equations on the plane and have the symmetry of the Euclidean group of the plane. We present a center-manifold reduction ("slaving principle") near spiral waves which enables us to reduce the spiral wave dynamics to a small system of ordinary differential equations. Then we discuss the structure of the ordinary differential equations in detail. Our approach holds for any symmetry group

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