FIGURE A:

basic chua's circuit schematic

Here is a diagram of Chua's circuit. As you can see, the design is relatively straightforward. In fact, it is the simplest possible chaotic circuit. There are a few variations but this is the most basic design. Building this circuit requires only basic soldering skills and a few common circuit components.
basic chua's circuit schematic

FIGURE B:

chua's diode resistance graph

Chua's circuit can be modelled by a set of nonlinear differential equations where x, y and z are plotted against time, commonly represented as follows.

Chua equations:ẋ = α(y-x-g(x)) ẏ = x-y+z ż = -βy

These represent the voltages across capacitors C_{1}, C_{2} and the current of the inductor respectively, as denoted in the schematic above. α and β depend on the actual circuit components.
g(x) is a piecewise-linear function representing the change in resistance vs. current across the Chua Diode:

g(x) = {mHere m_{0}x+m_{0}-m_{1}, if x≤-1 {m_{1}x, if -1≤x≤1 {m_{0}x+m_{1}-m_{0}, if 1≤x

Check out our simulation to see these equations plotted in 3 dimensions.

We can, however, represent these explicitly as functions of components, voltages and resistance in the actual circuit as below:

̇v_{1}= [ 1/(R*C_{1}) ]( (v_{2}-v_{1})-R*g(v_{1}) ) ̇v_{2}= [ 1/(R*C_{2}) ]( v_{1}-v_{2}+R*i_{L}) ̇i_{L}= [ 1/(L) ]( -v_{2}) g(v_{1}) = {m_{0}v_{1}+ (m_{0}-m_{1})E_{1}, if v_{1}≤ -E_{1}{m_{1}v_{1}, if -E_{1}< v_{1}< E_{1}{m_{0}v_{1}+ (m_{1}-m_{0})E_{1}, if E_{1}≤ v_{1}