Oscillating localized structures in reaction-diffusion systems

Orazio Descalzi, Yumino Hayase, Helmut R. Brand

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9 Scopus citations

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 languageEnglish
Article number01180
Pages (from-to)4097-4104
Number of pages8
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume14
Issue number12
DOIs
StatePublished - 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

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