📈 Bifurcation Diagrams
Map Type
Logistic Map: x → rx(1-x)
Sine Map: x → r·sin(πx)
Tent Map
Gauss Map: x → e^(-αx²) + β
View Range
r min: 2.5
r max: 4.0
Zoom Presets
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Onset
Chaos
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Feigenbaum
Quality
Iterations: 200
Skip transient: 100
Points per r: 100
Color Mode
Density (visits)
Iteration number
r gradient
White points
Render
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r range:
2.5 - 4.0
x at cursor:
--
r at cursor:
--
Feigenbaum δ:
4.66920...
Period:
--
Logistic Map: xn+1 = r·xn (1 - xn )
Period Doubling:
• r < 3: stable fixed point
• r ≈ 3: period-2 cycle
• r ≈ 3.449: period-4 cycle
• r ≈ 3.544: period-8 cycle
• r ≈ 3.5699...: onset of chaos
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