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Nonlinear chemical dynamics is the study of
oscillations, waves, fronts, patterns, and chaos in chemical systems
away from equilibrium. An important tool in this field is the use
of numerical simulations. We introduce numerical
integration for simple chemical rate expressions and examine the
limitations to standard methods, illustrating the erroneous results
that can be obtained for simple coupled differential
equations using two algorithms in Mathcad. We demonstrate
phase plane analysis in a simple driven pendulum and the
time delay method for reconstructing the systems attractor.
We apply the technique to several important systems,
including the LotkaVolterra model, the Brusselator, and
the Oregonator. This document contains an extensive
bibliography for oscillating reactions.
Figure 2. An attractor with a fixed point from Dynamics.mcd
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