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

✍ Scribed by Yumino Hayase; Orazio Descalzi; Helmut R. Brand


Book ID
103880115
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
283 KB
Volume
356
Category
Article
ISSN
0378-4371

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✦ Synopsis


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.