Bifurcation analysis of reaction–diffusion Schnakenberg model

Bifurcations of spatially nonhomogeneous periodic orbits and steady state solutions are rigorously proved for a reaction–diffusion system modeling Schnakenberg chemical reaction. The existence of these patterned solutions shows the richness of the spatiotemporal dynamics such as oscillatory behavior...

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Bibliographic Details
Published in:Journal of mathematical chemistry 2013-09, Vol.51 (8), p.2001-2019
Main Authors: Liu, Ping, Shi, Junping, Wang, Yuwen, Feng, Xiuhong
Format: Article
Language:English
Subjects:
Chemistry
Chemistry and Materials Science
Math. Applications in Chemistry
Original Paper
Physical Chemistry
Theoretical and Computational Chemistry
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Summary:Bifurcations of spatially nonhomogeneous periodic orbits and steady state solutions are rigorously proved for a reaction–diffusion system modeling Schnakenberg chemical reaction. The existence of these patterned solutions shows the richness of the spatiotemporal dynamics such as oscillatory behavior and spatial patterns.
ISSN:0259-9791
1572-8897
DOI:10.1007/s10910-013-0196-x