Oscillating localized structures are studied for a simple reaction-diffusion model from an analytical point of view. The result is a particle solution which acts as a source of traveling waves. The analytical expressions obtained are in good agreement with direct numerical simulations.
|Number of pages
|International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
|Published - Dec 2004
Bibliographical noteFunding Information:
O. Descalzi wishes to thank the support of FAI (Project ICIV-001-04, U. de los Andes), Fondecyt (Project 1020374) and DFG. Y. Hayase thanks the Alexander von Humboldt-Foundation for the award of an AvH-Fellowship. H. R. Brand thanks the Deutsche Forschungsgemeinschaft (DFG) for partial support of this work.
- Oscillating localized structures
- Reaction-diffusion models
- Saddle-node bifurcation