Chaotic behavior can be exhibited by a very simple chemical reactor model in which two exothermic reactions are carried out in a nonisothermal continuous-flow stirred tank reactor.

The parallel conversion of the two reactants and can be written:

,

.

The governing equations are [1]:

,

,

,

with initial conditions .

Here and represent dimensionless concentrations of and , is the dimensionless temperature, is the dimensionless time, and the Damköhler numbers [2] for the two reactions are and ; the other parameters are dimensionless numbers defined in [1].

[1] D. T. Lynch, S. E. Wanke, and T. D. Rogers, "Chaos in a Continuous Stirred Tank Reactor," Mathematical Modeling, 3(2), 1982 pp. 103–116. doi:10.1016/0270-0255(82)90016-1.