Abstract
A simple reaction-diffusion model, which admits stable oscillating localized structures is discussed. The approximate analytical expressions for localized oscillating structures in the reaction-diffusion model are calculated using a generalized matching approach. It is found that the oscillating particlelike solutions lead to the traveling waves generation in the phase because the limit cycle is not a circle. Results show that the analytical approximation captures all the essential ingredients of these breathing particlelike solutions.
| Original language | English |
|---|---|
| Article number | 026121 |
| Pages (from-to) | 026121-1-026121-9 |
| Journal | Physical Review E |
| Volume | 69 |
| Issue number | 2 2 |
| DOIs | |
| State | Published - Feb 2004 |
Keywords
- Diffusion
- Models, Statistical
- Models, Theoretical
- Oscillometry
- Physical Phenomena
- Physics
- Systems Theory