期刊
JOURNAL OF MATHEMATICAL CHEMISTRY
卷 48, 期 4, 页码 841-855出版社
SPRINGER
DOI: 10.1007/s10910-010-9699-x
关键词
Turing patterns; Reaction-Diffusion systems; Amplitude equation; Glycolytic oscillations
资金
- EPSRC
For a reaction-diffusion system of glycolytic oscillations containing analytical steady state solution in complicated algebraic form, Turing instability condition and the critical wavenumber at the Turing bifurcation point, have been derived by a linear stability analysis. In the framework of a weakly nonlinear theory, these relations have been subsequently used to derive an amplitude equation, which interprets the structural transitions and stability of various forms of Turing structures. Amplitude equation also conforms to the expectation that time-invariant amplitudes are independent of complexing reaction with the activator species.
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