Oscillating localized structures in reaction-diffusion systems

Orazio Descalzi, Yumino Hayase, Helmut R. Brand

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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 languageAmerican English
Pages (from-to)4097-4104
Number of pages8
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Issue number12
StatePublished - 1 Jan 2004


  • Oscillating localized structures
  • Reaction-diffusion models
  • Saddle-node bifurcation

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