Depinning transitions in discrete reaction-diffusion equations
We consider spatially discrete bistable reaction-diffusion equations that admit wave front solutions. Depending on the parameters involved, such wave fronts appear to be pinned or to glide at a certain speed. We study the transition of traveling waves to steady solutions near threshold and give cond...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2003 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/57209 |
| Online Access: | https://hdl.handle.net/20.500.14352/57209 |
| Access Level: | Open access |
| Keyword: | 517.9 Discrete reaction-diffusion equations Traveling wave fronts Propagation failure Wave front depinning Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| Summary: | We consider spatially discrete bistable reaction-diffusion equations that admit wave front solutions. Depending on the parameters involved, such wave fronts appear to be pinned or to glide at a certain speed. We study the transition of traveling waves to steady solutions near threshold and give conditions for front pinning (propagation failure). The critical parameter values are characterized at the depinning transition, and an approximation for the front speed just beyond threshold is given. |
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