# Stable transport of information near essentially unstable localized structures

@article{Gallay2003StableTO, title={Stable transport of information near essentially unstable localized structures}, author={Thierry Gallay and Guido Schneider and Hannes Uecker}, journal={Discrete and Continuous Dynamical Systems-series B}, year={2003}, volume={4}, pages={349-390} }

When the steady states at infinity become unstable through a
pattern forming bifurcation, a travelling wave may bifurcate
into a modulated front which is time-periodic in a moving
frame. This scenario has been studied by B. Sandstede and A. Scheel
for a class of reaction-diffusion systems on the real line.
Under general assumptions, they showed that the modulated
fronts exist and are spectrally stable near the bifurcation
point. Here we consider a model problem for which
we can prove…

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