Chua's Circuit

Circuit Equations

Using nondimensionalised variables, Chua's circuit can be modelled by:

dx/dt = α (y − x − f(x))
dy/dt = x − y + z
dz/dt = −β y

Where f(x) is Chua's piecewise-linear nonlinear resistor.

Parameters

• α = 15.6
• β = 28
• m₀ = –1.143, m₁ = –0.714 (slope of piecewise segments)

How to Use the Demo

• Click Reset in the gallery to randomise the starting point.
• The canvas plots 50 integration steps per frame for a smooth trace.
• Colours rotate through the hue wheel, creating a neon ribbon effect.

Why It Matters

Chua's circuit is one of the simplest physical systems capable of true chaos, making it a staple in chaos theory research and education.