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Diffusion-induced instability in a coupled reactor system: Case of the Deng-Harrison model
Authors

Housam Binous
Organization: KFUPM
Department: Chemical Engineering
URL: http://sites.google.com/site/homepageofdrhousambinous/
Nasri Zakia
Organization: National Institute of Applied Sciences and Technology
Department: Chemical Engineering Department
Revision date

2007-10-31
Description

Diffusion through a membrane in a coupled reactor system can cause complex behaviour such as oscillations, period doubling and chaos. Here we study a simple model suggested by Deng-Harrison in 1969. The bifurcation diagram is obtained. We find good agreement with Figure 10 page 76 of the paper by Lengyel and Epstein.

Reference:
I. Lengyel and I. R. Epstein, Diffusion-induced instability in chemically reacting systems: Steady-state multiplicity, oscillation, and chaos, Chaos 1 (1) 69-76, 1991.
Subjects

*Applied Mathematics
*Applied Mathematics > Numerical Methods
*Engineering > Chemical Engineering
*Science > Biology
*Science > Chemistry
Keywords

Diffusion, diffusion-induced instability, chaos, oscillation, period doubling, bifurcation diagram, coupled reactor system, Deng-Harrison model, complex dynamic behavior, nonlinear chemical dynamics
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Epstein_Lengyel_Final_Version.nb (1.6 MB) - Mathematica Notebook [for Mathematica 6.0]