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Stable foliations near a traveling front for reaction diffusion systems

Partially supported by the US National Science Foundation under Grants NSF DMS-1067929, DMS-1311313, by the Research Board and Research Council of the University of Missouri, and by the Simons Foundation. This research was funded by the IRSES program of the European Commission (PIRSES-GA-2012-318910). RS gratefully acknowledges financial support by the Deutsche Forschungsgemeinschaft (DFG) through CRC 1173
We thank S. Walsh for pointing out the important paper [24], and the anonymous referee for many valuable comments.
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