Wave pinning in strips
Karsten Matthies, Clarence Eugene Wayne · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2006
We consider the existence of stationary or pinned waves of reaction–diffusion equations in heterogeneous media. By combining averaging, homogenization and dynamical-systems techniques we prove under mild non-degeneracy conditions that if the heterogeneity is periodic with period ε, pinned solutions persist at most for intervals in parameter space whose length is O (e − c /√ε ).