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• W1969107951 abstract "For a large class of reaction-diffusion systems on the plane, we show rigorously that m-armed spiral waves bifurcate from a homogeneous equilibrium when the latter undergoes a Hopf bifurcation. In particular, we construct a finite-dimensional manifold which contains the set of small rotating waves close to the homogeneous equilibrium. Examining the flow on this center-manifold in a very general example, we find different types of spiral waves, distinguished by their speed of rotation and their asymptotic shape at large distances of the tip. The relation to the special class of $lambda$-$omega$ systems and the validity of these systems as an approximation is discussed." @default.
• W1969107951 created "2016-06-24" @default.
• W1969107951 creator A5065276682 @default.
• W1969107951 date "1998-11-01" @default.
• W1969107951 modified "2023-09-27" @default.
• W1969107951 title "Bifurcation to Spiral Waves in Reaction-Diffusion Systems" @default.
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• W1969107951 doi "https://doi.org/10.1137/s0036141097318948" @default.
• W1969107951 hasPublicationYear "1998" @default.
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