Abstract
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.
Original language | English |
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Article number | 01180 |
Pages (from-to) | 4097-4104 |
Number of pages | 8 |
Journal | International Journal of Bifurcation and Chaos in Applied Sciences and Engineering |
Volume | 14 |
Issue number | 12 |
DOIs | |
State | Published - Dec 2004 |
Bibliographical note
Funding 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.
Keywords
- Oscillating localized structures
- Reaction-diffusion models
- Saddle-node bifurcation