In this paper, bifurcations of stationary and time-periodic solutions to reaction-diffusion systems are studied. We develop a center-manifold and normal form theory for radial dynamics which allows for a complete description of radially symmetric patterns. In particular, we show the existence of localized pulses near saddle-nodes, critical Gibbs kernels in the cusp, focus patterns in Turing instabilities, and active or passive target patterns in oscillatory instabilities.
Format PDF ● Seiten 86 ● ISBN 9781470403843 ● Verlag American Mathematical Society ● herunterladbar 3 mal ● Währung EUR ● ID 6612981 ● Kopierschutz Adobe DRM
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