Research & development · Switzerland
Even chaos has a shape.
So does your problem. We find it with mathematics, computer science and AI.
def lorenz(x, y, z, σ=10, ρ=28, β=8/3):
return σ*(y - x), x*(ρ - z) - y, x*y - β*z
# two starts 1e-9 apart are strangers by t ≈ 24- an equilibrium, unstable: circled forever
- (−√72, −√72, 27): its twin
- 10, the Prandtl number
- laps per wing: 1, 4, 1, 1, 3… never a cycle
- 1961: 0.506127 retyped as 0.506
- click the dust: another one
- λ ≈ 0.9: an error grows ×2.5 per time unit, a billion times over by t ≈ 23; the wings: a fractal, of dimension ≈ 2.06
- 28, past 24.74: all equilibria repel
What we do
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Equilibrium is a research and development hub. Clients bring us problems from many fields; we state them precisely, solve them with mathematical rigour and build the software that puts the answer to work.
- the gradient: zero, at last