Numerical Computation of Periodic Solution Branches and Oscillatory Dynamics of the Stirred Tank Reactor with A yields B yields C Reactions.

摘要

We present a continuation technique for branches of periodic solutions which can be applied to autonomous systems for nonlinear differential equations. Coupling the technique with Hopf bifurcation expansions enables one to compute entire periodic solution branches including those with turning points and unstable solutions. We apply these methods to a continuously stirred tank reactor with consecutive A yields B yields C reactions. Our computations reveal dynamic phenomena not seen in previous reactor studies. The results include response diagrams exhibiting stable and unstable periodic branches that contain multiple turning points. The discovery of these points indicates the reactor may jump from a steady state to a periodic orbit or may jump from one periodic orbit to another. (Author)