Equations · equation
Feigenbaum Constant
Nonlinear Dynamics · 1975
- Equation
- δ = lim (rₙ − rₙ₋₁)/(rₙ₊₁ − rₙ) ≈ 4.6692…
- Field
- Nonlinear Dynamics
- Named After
- Mitchell Feigenbaum
- Symbols
- rₙ the parameter values where the period doubles again (2, 4, 8, …) · δ the universal ratio at which those doublings accelerate toward chaos
- Year
- 1975
Significance
On the road to chaos, the period-doublings arrive geometrically faster — and the ratio is the same number for the logistic map, dripping faucets, and convecting fluids alike. A new universal constant of nature discovered on a programmable calculator.
Referenced by
equation
theory
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