A simple two-component reaction-diffusion system showing rich dynamic behavior: spatially homogeneous aspects and selected bifurcation scenarios

Yumino Hayase, Orazio Descalzi and Helmut R. Brand

Physica A: Statistical Mechanics and its Applications, 2005, vol. 356, issue 1, 19-24

Abstract: We present a simple reaction-diffusion model for two variables. The model was originally designed to have a stable localized solution for a range of parameters as a consequence of the coexistence of a stable limit cycle and a stable fixed point. We classify the spatially homogeneous solutions of the model. In addition we describe several bifurcation scenarios for particle-like solutions as a function of two of the parameters.

Keywords: Reaction-diffusion systems; Limit cycles; Localized solutions; Particle solutions (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:356:y:2005:i:1:p:19-24

DOI: 10.1016/j.physa.2005.05.006

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