Mackey-Glass equation

Mackey-Glass delay-differential equation

dx/dt = β · x(t − τ) / (1 + x(t − τ)ⁿ) − γ · x(t)
benchmark: β = 0.2, γ = 0.1, n = 10, τ = 17  →  chaotic

Model of white-blood-cell production with feedback delay. For τ > 16.8 (at standard β, γ, n) the system bifurcates from a periodic limit cycle to chaos. The delay embedding panel reconstructs the strange attractor from the scalar time series.