Brandeisator: Lengyel-Epstein model for the chlorite-iodide-malonic acid (CIMA) reaction

1. I. Lengyel, and I.R. Epstein, Science, 251, 650 (1991). (PDF)
2. I. Lengyel, S. Kadar, and I.R. Epstein, Phys. Rev. Lett.,69,2729 (1992.)
3. I. Lengyel and I. R. Epstein, J. Phys. Chem, 96, 7032 (1992). (PDF)
4. B. Rudovics, E. Barillot, P. W. Davies, E. Dulos, J. Boissonade, and P. De Kepper, J. Phys. Chem. A 103, 1790 (1999). (PDF)
5. S. Setayeshgar and M. C. Cross, "Numerical bifurcation diagram for the two-dimensional boundary-fed chlorine-dioxide-iodine-malonic-acid system", Phys. Rev. E 59 4258 (1999). (PDF)

Scheme:

MA + I2	-->	IMA + I- + H+
ClO2 + I-	-->	ClO2- + ½I2
ClO2- + 4I- + 4H+	-->	Cl- + 2I2 + 2H2O
S + I2 + I-	<-->	SI-3

Rates:
5-variable model:
Reduced to 2-v model:
Example:

The model has two bifurcations:
1. Turing bif.

2. Hopf bif.


Codimension 2 points.

(7.2397620431475, 0.01781410114423)

1. Developing of Turing patterns from random initial conditions.
2. We had used a coupled LE model to produce Symmetric, asymmetric and antiphase Turing patterns.
3. a two-layer system