Analytical approach to localized structures in a simple reaction-diffusion system.
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.
Descalzi
Orazio
O
Facultad de Ingeniería, Universidad de los Andes, Santiago, Chile.
Hayase
Yumino
Y
Brand
Helmut R
HR
D004058:Diffusion; D015233:Models, Statistical; D008962:Models, Theoretical; D009991:Oscillometry; D055585:Physical Phenomena; D010825:Physics; D013598:Systems Theory