ROOM · LIVING · 3 OF 4

Chaos · room 3

Eight exhibits. Look at one, then step to the next. The room loops.

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1. EXHIBIT
   Wilson–Cowan
   Wilson–Cowan neural oscillator + slow adaptation z, 3D. S(u)=1/(1+exp(−u)), dx/dt=(−x+(1−x
2. EXHIBIT
   Blasius
   Blasius–Huppert–Stone 1999 3-species food-chain ODE. du/dt=a u−a1 uv/(1+k1 u), dv/dt=−b v+
3. EXHIBIT
   Glukhovsky–Dolzhansky
   Glukhovsky–Dolzhansky. Classic a=1 σ=10 r=28
4. EXHIBIT
   Hadley
   Hadley circulation 3D atmospheric/Hadley-cell chaotic attractor (Lorenz 1984). dx/dt = −y²
5. EXHIBIT
   Lorenz-84
   Lorenz-84 classic 3D ODE. dx/dt = −a·x − y² − z² + a·F, dy/dt = −y + x·y − b·x·z + G, dz/d
6. EXHIBIT
   Rayleigh–Bénard
   Rayleigh–Bénard convection 3D chaotic attractor via Shimizu–Morioka large-Ra truncation. d
7. EXHIBIT
   Rikitake
   Rikitake two-disk dynamo 3D chaotic attractor. dx/dt = −μ x + y z, dy/dt = −μ y + x (z − a
8. EXHIBIT
   Vallis
   Vallis El Niño oscillator (1986/88). dx/dt = B·y − C·(x + u*), dy/dt = x·z − A·y, dz/dt =

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