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Singular Hopf-bifurcation in a chemical reaction-diffusion system

✍ Scribed by M. Mimura; M. Nagayama; K. Sakamoto

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
299 KB
Volume
11
Category
Article
ISSN
0893-9659

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✦ Synopsis

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 be detected in the singular limit as e --~ 0. (~) 1998 Elsevier Science Ltd. All rights reserved.

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