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Hopf bifurcation analysis in a one-dimensional Schnakenberg reaction–diffusion model

✍ Scribed by Chuang Xu; Junjie Wei


Book ID
113824105
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
648 KB
Volume
13
Category
Article
ISSN
1468-1218

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Singular Hopf-bifurcation in a chemical
✍ M. Mimura; M. Nagayama; K. Sakamoto 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 299 KB

For a system of reaction-diffusion equations with a small parameter e > 0, modelling spatio-temporal patterns arising in chemical systems, a Hopf-bifurcation of equilibrium solutions with a sharp internal transition layer is established. The Hopf-bifurcation is singular in the sense that it cannot b