KAUFFMAN NK BOOLEAN NETWORK
Attractor landscape · Edge of chaos · K=2 criticality
N (nodes)
16
K (connectivity)
2
Bias p(1)
0.50
CRITICAL (K=2)
Attractors: —
Avg cycle: —
Frozen: —%
NK model
(Kauffman 1969): N nodes, each with K random inputs and random Boolean function.
K=1:
Frozen (ordered phase) — most genes fixed
K=2:
Edge of chaos
— ~√N attractors, O(√N) length
K≥3:
Chaotic — exponential attractors
Top:
Network graph (edges = regulatory links)
Bottom:
State space trajectory (time vs nodes)
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