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Numerical bifurcation and stability analysis of the Nicolis-Puhl reaction as an application of a class of integro-partial differential equations. (English) Zbl 0977.34050

Summary: Numerical bifurcation and stability analysis techniques are applied to a specific class of integro-partial differential equations (IPDE). This class of IPDE can be used to study many physical and chemical reaction systems as a dynamical system. The Nicolis-Puhl(NP) reaction in an isothermal two-component, autocatalytic reaction exhibiting bistability, perfectly micromixed continuous-flow stirred tank reactor (CSTR) has been shown to be sensitive to the degree of micromixing under nonpremixed feed conditions. These properties make it an interesting model to be studied as an application of this class of IPDE. The numerical simulation methods studied here has excellent numerical stability and the results are similar to those found by Fox, Villermaux (1990), Fox, Curtis and Halasi (1990), and Fox (1990) for NP reaction. These results are verified through numerical simulations of a time dependent solution model.

MSC:

34D30 Structural stability and analogous concepts of solutions to ordinary differential equations
34C60 Qualitative investigation and simulation of ordinary differential equation models
34A45 Theoretical approximation of solutions to ordinary differential equations
34C23 Bifurcation theory for ordinary differential equations
92E20 Classical flows, reactions, etc. in chemistry
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