SARATH THARAYILST
WRITEUPSCONCEPTSPROJECTSLABABOUT
SARATH THARAYIL
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IGARATIPO: AMAZON TRIBUTARIES
/ SYSTEM

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← LAB

Lorenz Attractor

Jun 6, 2026

Edward Lorenz discovered this system in 1963 while modelling atmospheric convection. Three equations, three parameters — and a trajectory that orbits two lobes forever without ever closing or repeating. Chaos mode shows six nearly identical starting points diverge completely within seconds.

ρ28

Drag to rotate. ρ below ~24.7 collapses the attractor. Chaos mode: 6 trajectories offset by 0.001.

/ NOTES
THE EQUATIONS

dx/dt = σ(y−x)   dy/dt = x(ρ−z)−y   dz/dt = xy−βz. Integrated with RK4 at dt=0.005.

PARAMETERS
σ (sigma)Controls convection rate. Classic: 10.
ρ (rho)Linked to temperature difference. Above ~24.7 chaos begins.
β (beta)Geometric factor. Classic: 8/3.
WHAT TO TRY

Enable Chaos mode and watch six nearly-identical trajectories fill completely different regions of the attractor within 30 seconds. Drag to rotate. Try ρ below 24 to see the attractor collapse.