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

Orazio Descalzi; Yumino Hayase; Helmut R Brand

doi:10.1103/physreve.69.026121

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

Orazio Descalzi·Yumino Hayase·Helmut R Brand

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Abstract

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.

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Diffusion Models, Statistical Models, Theoretical Oscillometry Physical Phenomena Physics Systems Theory Journal Article

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Orazio Descalzi, Yumino Hayase, Helmut R Brand. 2004-02-27. Analytical approach to localized structures in a simple reaction-diffusion system.. https://doi.org/10.1103/physreve.69.026121

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