Selkov Model
Two-variable autocatalytic oscillator — animated limit cycle
α (outflow rate):
0.75
β (autocatalysis):
0.60
Speed:
2
x
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Selkov (1968) model:
dx/dt = −x + αy + x²y
dy/dt = β − αy − x²y
Limit cycle exists when:
α < β − β³/3
(approx)
x
= ADP concentration
y
= F6P (fructose-6-phosphate)
Multiple initial conditions converge to same limit cycle — demonstrating
global attractor
behavior.