# The Györgyi-Field Model for the Belousov-Zhabotinsky Reaction

The Györgyi-Field Model for the Belousov-Zhabotinsky Reaction

The Belousov–Zhabotinsky (BZ) reaction in a continuous-flow stirred-tank reactor (CSTR) can exhibit chaos, contrary to the Oregonator model, which has no chaotic solutions.

Deterministic chaos in the BZ reactor was studied in [1]. The scaled differential equations are:

dx

dτ

0

1

0

~

y

2

2

0

0

~

y

3

0

2

4

0.5

1.5

-0.5

0

0

0.5

5

0

f

dz

dτ

0

4

0.5

1.5

0.5

0

0

0.5

5

0

6

0

7

f

dv

dτ

0

1

0

0

0

~

y

2

2

0

0

~

y

3

2

0

0

2

6

0

f

~

y

6

0

0

1

0

2

2

f

0

where , , , and and the significance of all parameters ( for , , , , , , , , , and ) is given in [1].

τ=t/T

0

x=X/X

0

z=Z/Z

0

v=V/V

0

k

i

i=1,…,7

A

H

C

α

β

τ

X

0

Y

0

Z

0

Here, the bifurcation parameter is , the inverse of the reactor's residence time.

k

f