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

Housam Binous
Organization: KFUPM
Department: Chemical Engineering
Nasri Zakia
Organization: National Institute of Applied Sciences and Technology
Department: Chemical Engineering Department
Revision date


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.

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.

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

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]