Chua

3-D flow · #chua
Chua drawn by chaosrack
Chua
Chua, animated
animated
The parameter knobs for Chua
parameters

Chua's Circuit (Double Scroll Attractor) — Invented by Leon Chua in 1983, this is the first electronic circuit proven to exhibit chaos. The system features a piecewise-linear nonlinearity (the Chua diode) that creates the characteristic double-scroll pattern. It is also the basis for multi-scroll attractor generalizations.

dx/dt = α(y − x − h(x))
dy/dt = x − y + z
dz/dt = −βy
h(x) = m₁x + ½(m₀ − m₁)(|x+1| − |x−1|)
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It opens running, on the model selector, with its own knobs. Rotate it by dragging, zoom with the wheel, and turn the parameters to see what the figure does when the system changes.

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