M. Dolnik et al., OSCILLATORY CHEMICAL-REACTION IN A CSTR WITH FEEDBACK-CONTROL OF FLOW-RATE, The journal of physical chemistry. A, Molecules, spectroscopy, kinetics, environment, & general theory, 101(28), 1997, pp. 5148-5154
We present an experimental and numerical study of the chlorine dioxide
-iodide (CDI) reaction in a single, well-stirred, flow-through reactor
with feedback regulation of flow rate in three different arrangements
. The control is accomplished through a computer-mediated sigmoidal de
pendence of the dynamic flow rate(s) on the iodide concentration. Nume
rical simulations predict interesting dynamics in the CDI reaction sys
tem, which, without control, displays only steady-state and/or simple
periodic oscillations. Our experiments confirm that bursting emerges a
s a result of the feedback control. We attribute bursting to the coexi
stence of the stable steady state and oscillations in the uncontrolled
system. A period doubling sequence leading to chaos results from the
nonlinear dependence of the oscillatory period on the flow rate in the
vicinity of a Hopf bifurcation point.