Guckenheimer, John Multiple bifurcation problems for chemical reactors. (English) Zbl 0593.34043 Physica D 20, 1-20 (1986). 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. Cited in 15 Documents MSC: 34C25 Periodic solutions to ordinary differential equations 34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations 92Exx Chemistry Keywords:Hopf bifurcation; saddle loop; first order differential equation; stirred tank reactor; dynamical behavior of chemical reactors PDF BibTeX XML Cite \textit{J. Guckenheimer}, Physica D 20, 1--20 (1986; Zbl 0593.34043) Full Text: DOI OpenURL References: [1] Enz, U., Physica, Phys. rev., 131, 1392, (1963) [2] Scott, A.C., Phys. scr., 20, 509, (1979) [3] Lamb, G.L., Elements of soliton theory, (1980), Wiley New York · Zbl 0445.35001 [4] de Broglie, L., Compt. rend., 183, 447, (1926) [5] Bohm, D.; Hiley, B.J., Phys. rev. lett., 55, 2511, (1985) [6] Enz, U., Physica, J. math. phys., 19, 1304, (1978) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.