Abstract
A simplified coupled reaction-diffusion system is derived from a diffusive membrane coupling of two reaction-diffusion systems of activator-inhibitor type. It is shown that the dynamics of the original decoupled systems persists for weak coupling, while new coupled stationary patterns of alternated type emerge at a critical strength of coupling and become stable for strong coupling independently of the dynamics of the decoupled systems. The approach which we use here is singular perturbation techniques and complementarily numerical methods.
| Original language | English |
|---|---|
| Pages (from-to) | 385-424 |
| Number of pages | 40 |
| Journal | Japan Journal of Industrial and Applied Mathematics |
| Volume | 12 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1995 Oct |
Keywords
- Turing pattern
- computer simulation
- diffusive coupling
- reaction-diffusion system
- singular perturbation method
- symmetry-breaking bifurcation
ASJC Scopus subject areas
- Engineering(all)
- Applied Mathematics