Period doubling and complex dynamics in an isothermal chemical reaction system |
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| Authors: | Conrad B. Smith Boguslaw Kuszta Gerasimos Lyberatos James E. Bailey |
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| Affiliation: | Department of Chemical Engineering, University of Houston, Houston, TX 77004, U.S.A.;Department of Chemical Engineering, California Institute of Technology, Pasadena, CA 91125, U.S.A. |
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| Abstract: | Stability and bifurcation theory have been used to organize a computational study of the dynamics of a three-variable isothermal reaction system with quadratic kinetics. This system exhibits a cascade of period-doubling bifurcations over decreasing intervals of parameter changes. This simple example illustrates a wide variety of complicated dynamics and shows that the qualitative dynamic features of isothermal reaction systems may be extremely sensitive to parameter values. |
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| Keywords: | Author to whom correspondence should be addressed. |
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