t = 0
—
—
Lorenz equations:
ẋ = σ(y−x)
ẏ = x(ρ−z)−y
ż = xy−βz
At σ=10, ρ=28, β=8/3: chaotic attractor with Lyapunov exponent λ₁ ≈ 0.906. The Lorenz map (zₙ₊₁ vs zₙ at local maxima) reveals the parabolic tent-map structure underlying the chaos.
ẋ = σ(y−x)
ẏ = x(ρ−z)−y
ż = xy−βz
At σ=10, ρ=28, β=8/3: chaotic attractor with Lyapunov exponent λ₁ ≈ 0.906. The Lorenz map (zₙ₊₁ vs zₙ at local maxima) reveals the parabolic tent-map structure underlying the chaos.