Amplitude equation for a diffusion-reaction system: The reversible Sel'kov model | Zendy

Arun K. Dutt | Zendy

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Amplitude equation for a diffusion-reaction system: The reversible Sel'kov model

Author(s) -

Arun K. Dutt

Publication year - 2012

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4765650

Subject(s) - amplitude , reaction–diffusion system , nonlinear system , diffusion equation , invariant (physics) , physics , mathematical analysis , chemistry , mathematical physics , mathematics , quantum mechanics , economy , economics , service (business)

For a model glycolytic diffusion-reaction system, an amplitude equation has been derived in the framework of a weakly nonlinear theory. The linear stability analysis of this amplitude equation interprets the structural transitions and stability of various forms of Turing structures. This amplitude equation also conforms to the expectation that time-invariant amplitudes in Turing structures are independent of complexing reaction with the activator species, whereas complexing reaction strongly influences Hopf-wave bifurcation

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