Chua's Circuit — Double-Scroll Attractor

The simplest electronic circuit that exhibits chaos. A piecewise-linear nonlinear resistor (Chua diode) drives a spiral attractor that wraps endlessly around two unstable equilibria.

15.6
28.0
-1.143
-0.714
Chua's equations:
ẋ = α[y − x − f(x)]
ẏ = x − y + z
ż = −βy

f(x) = m₁x + ½(m₀−m₁)(|x+1|−|x−1|)

The piecewise-linear f(x) (Chua diode) breaks symmetry locally, creating two spiral unstable foci that the trajectory jumps between — the hallmark double-scroll.