WOLFRAM|DEMONSTRATIONS PROJECT

Chlorite-Iodide-Malonic Acid (CIMA) Reaction

​
a
37.4827
b
11.4654
time series
phase plane
stability diagram
The Demonstration presents the chlorite-iodide-malonic acid (CIMA) reaction, which gives rise to temporal oscillations.
The reaction scheme is:
A→X
X→Y
4X+Y→P
,
where
X=
-
I
and
Y=
-
ClO
2
.
The dimensionless governing equations are:
u
τ
=a-u-4uv/(1+
2
u
)
,
v
τ
=b(u-uv(1+
2
u
))
.
Oscillating patterns are observed for
b<
3a
5
-
25
a
. In fact, oscillations are obtained in snapshot 1 for
b=11.4655
and
a=37.4828
. The phase-plane diagram shows a limit cycle.
On the other hand, a stable steady state is found for
a=21.7989
and
b=15.7884
(snapshot 3). Phase-plane analysis shows a stable node. The locations of the selected parameter values are plotted in the stability diagram that demarcates the parameter space between limit cycles (periodic oscillations) and damped oscillations.