Lorenz Attractor — Poincaré Section
Return map reveals the strange attractor's fractal structure
σ (sigma):
10.0
ρ (rho):
28.0
β (beta):
2.67
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Clear
Lorenz system:
ẋ = σ(y−x)
ẏ = x(ρ−z)−y
ż = xy − βz
Poincaré section:
Record z_max at each local maximum. The return map z_{n+1} vs z_n reveals a 1D map — the signature of low-dimensional chaos.
Points collected
0
Lyapunov exp. ~
0.906