| The steady state and dynamic behavior of the chemically reacting system A(--->)B(--->)C occurring in a continuous flow stirred tank reactor was studied. Multiplicities of one, three or five steady states may be found, and many different combinations of the various types of the steady states are shown to exist. The separatrix surface on two-dimensional stable manifold of a saddle is given for seven parameter sets. The separatrix surface(s) divide(s) the three-dimensional variable space into regions of attraction associated with stable steady state. These separatrix surfaces are more complex than had been expected as they exhibit folds.;Exotic oscillatory behavior exists for higher values of the dimensionless heat transfer coefficient (kappa). For a monotonic change in (kappa) many oscillatory states or limit cycles bifurcate to period-doubling modes, become chaotic for a range of (kappa), and then develop into independent oscillatory states, i.e. not developing from some periodic mode. This phenomenon has a well defined pattern which is given. Very large periodic modes were found, i.e., (pi)(52): a cycle which consists of 52 suboscillations before returning back on itself.;In addition the change of a chaotic mode existing between two stable periodic modes is shown for small changes in (kappa). |
