Equivariant segregated rotating waves in the singular limit of asymmetric competition-diffusion systems on the circle exist if and only if the asymmetry ratio λ lies in an explicit range, with uniquely determined angular velocity ω(λ) and profile; stationary solutions exist only for λ=1.
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Selection of the angular speed of rotating waves in segregated reaction-diffusion systems with asymmetric competition
Equivariant segregated rotating waves in the singular limit of asymmetric competition-diffusion systems on the circle exist if and only if the asymmetry ratio λ lies in an explicit range, with uniquely determined angular velocity ω(λ) and profile; stationary solutions exist only for λ=1.