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.
|Number of pages||32|
|Journal||SIAM Journal on Mathematical Analysis|
|Publication status||Published - Mar 1997|
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics