Analytical approach to localized structures in a simple reaction-diffusion system

Orazio Descalzi*, Yumino Hayase, Helmut R. Brand

*Autor correspondiente de este trabajo

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

22 Citas (Scopus)


We study from an analytical point of view a simple reaction-diffusion model, which admits stable oscillating localized structures as a consequence of the coexistence between a stable limit cycle and a stable fixed point. Using a generalized matching approach we are able to find approximate analytical expressions for localized oscillating structures in this reaction-diffusion model capturing all the essential ingredients of these breathing particlelike solutions.
Idioma originalInglés
Número de artículo026121
Páginas (desde-hasta)026121-1-026121-9
PublicaciónPhysical Review E
N.º2 2
EstadoPublicada - feb. 2004

Palabras clave

  • Diffusion
  • Models, Statistical
  • Models, Theoretical
  • Oscillometry
  • Physical Phenomena
  • Physics
  • Systems Theory


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