Abstract
We treat the stability index for traveling-wave solutions of one-dimensional reaction-diffusion equations due to Alexander, Gardner, and Jones [J. Reine Angew. Math., 410(1990), pp. 167-212]. An extension of the stability index which makes the index robust to perturbation is given and, using the extension, an additive formula for a gluing bifurcation of traveling waves is proven. We also consider certain heteroclinic bifurcations as an application, some specific examples of which are discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 402-433 |
| Number of pages | 32 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 28 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Mar 1997 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Analysis
- Computational Mathematics
- Applied Mathematics