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Memoirs of the American Mathematical Society
2003; 86 pp; softcover
List Price: US$60
Individual Members: US$36
Institutional Members: US$48
Order Code: MEMO/165/786
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.
Graduate students and research mathematicians interested in differential equations.
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