Chaos Lab

Continuous flow · dim 3

Chua's circuit

Leon Chua's 1983 nonlinear circuit, the first physically realised chaotic electronic system. Double-scroll attractor; the piecewise-linear nonlinearity f comes from the 'Chua diode'.

Chua's circuit double-scroll attractor.

Equations

dx/dt = α (y − x − f(x))
dy/dt = x − y + z
dz/dt = −β y
f(x) = m1 x + 0.5 (m0 − m1) (|x + 1| − |x − 1|)

At a glance

Parametersα = 15.6, β = 28, m0 = −1.143, m1 = −0.714 (double scroll)
Chaotic forbroad parameter window
HistoryChua (1983); experimental realisation by Matsumoto (1984).

Try it

Open the interactive playground at /tools/chua.

See also

Test your knowledge

8-question flashcard quiz on chua's circuit

Start quiz →

AI Summary

Summarize this page in your favorite LLM