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Multiple bifurcation problems for chemical reactors. (English) Zbl 0593.34043

Summary: This paper presents a mathematical strategy for exploring the dynamical behavior of chemical reactors. Our intent is to stimulate further development of the mathematics with which we approach these problems as well as to illustrate how it can be usefully applied to models of chemical reactors. In the process of accomplishing this task, we extend and correct published work on the models we consider. At the same time, we point to the mathematical problems which arise. Many of the results presented rely upon computer studies that hopefully will be supplanted by rigorous arguments in the future.

MSC:

34C25 Periodic solutions to ordinary differential equations
34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
92Exx Chemistry
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References:

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