Abstract
The impact of nonlinear diffusion on reaction-diffusion processes was discussed. Formation of patterns in the genuinely nonlinear reaction diffusion model equation was investigated. A transformation was provided which mapped the model into a purely diffusive process free of its interacting part and its intrinsic temporal and spatial scales. Emerging patterns were completely characterized by the attractors of the diffusive process.
| Original language | English |
|---|---|
| Article number | 194501 |
| Pages (from-to) | 1945011-1945014 |
| Number of pages | 4 |
| Journal | Physical Review Letters |
| Volume | 88 |
| Issue number | 19 |
| State | Published - 13 May 2002 |