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Wave Selection at an $O(2)$-Hopf Bifurcation in Conservative Two-Component PDE Systems
At an $O(2)$-equivariant Hopf bifurcation a spatially periodic system selects between traveling waves and standing waves, and which branch appears and whether it is stable is decided by two cubic normal form coefficients. Obtaining these coefficients for a given PDE has required a derivation carried
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