Traveling Waves in Discrete Periodic Media for Bistable Dynamics
β Scribed by Xinfu Chen; Jong-Shenq Guo; Chin-Chin Wu
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 476 KB
- Volume
- 189
- Category
- Article
- ISSN
- 0003-9527
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π SIMILAR VOLUMES
Propagation failure (pinning) of traveling waves is studied in a discrete scalar reaction--diffusion equation with a piecewise linear, bistable reaction function. The critical points of the pinning transition, and the wavefront profile at the onset of propagation are calculated exactly. The scaling
## Abstract Reaction diffusion systems on cylindrical domains with terms that vary rapidly and periodically in the unbounded direction can be analyzed by averaging techniques. Here, using iterated normal form transformations and Gevrey regularity of bounded solutions, we prove a result on exponenti