Oregonator model of the Belousov-Zhabotinsky reaction

  • R.J. Field and R.M. Noyes, J.Chem.Phys.,60,1877 (1974)
  • J.J. Tyson, On scaling the Oregonator equations in Non-Linear Phenomena in Chemical Dynamics (C. Vidal & A. Pacault, Eds.) pp. 222-227 (Springer-Verlag, Berlin, 1981).
Scheme:

Identification of symbols for Oregonator model:
where A=[HBrO3-], B: All oxidizable organic species,
P=HOBr, X=[HBrO2], Y=[Br-], Z=[Mox]
The reaction rate equations for the intermediate species X,Y and Z are

Dimensionless equations, take

Dimensionless parameters:

For typical values A=0.06M and B=0.02M,and rates

The 2-variable Oregonator model:

Linear stability analysis at the steady state gives dispersion curves:

We made an extension to Oreg3v (half system of the next 5-variable model):

(This is a copy from our published paper.)

We had used a coupled Oregonator model to produce a family of oscillatory Turing patterns:

Click here for extension in BZ aerosol OT system


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