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 :
with initial conditions .
Here and represent dimensionless concentrations of and , is the dimensionless temperature, is the dimensionless time, and the Damköhler numbers  for the two reactions are and ; the other parameters are dimensionless numbers defined in .