CRITICAL POINTS & BIFURCATION
▸ Logistic map x' = r·x·(1−x)…
▸ Raise r: 1 point → 2 → 4 → 8 → chaos
▸ Feigenbaum constant δ ≈ 4.669
▸ Period-3 window amid the chaos…
▸ Online. ✅
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⌂ Complex systems
Simulation room
Critical points & bifurcation
Bifurcation (Logistic Map)
Online
🔱 the road to chaos
Now showing
🔱
Regime
Parameter r
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Behavior
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Scenario
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Order ↔ chaos
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▶️ Sweep r
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📊 Diagram
Drag
r
to move the cursor on the bifurcation diagram — see 1 point → 2 → 4 → chaos · the xₙ sequence below
Population trajectory xₙ over time (period-doubling → chaos)
xₙ