Universality of Crystallographic Pinning

@article{Hoffman2008UniversalityOC,
  title={Universality of Crystallographic Pinning},
  author={Aaron D. Hoffman and John Mallet-Paret},
  journal={Journal of Dynamics and Differential Equations},
  year={2008},
  volume={22},
  pages={79-119}
}
We study traveling waves for reaction diffusion equations on the spatially discrete domain $${\mathbb Z^2}$$. The phenomenon of crystallographic pinning occurs when traveling waves become pinned in certain directions despite moving with non-zero wave speed in nearby directions. In [19] it was shown that crystallographic pinning occurs for all rational directions, so long as the nonlinearity is close to the sawtooth, which itself was considered in [6]. In this paper we show that crystallographic… CONTINUE READING
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