We take the following representation for Chua's electronic circuit:
$$
\left\{
\begin{array}{rcl}
\dot{x}_1 & = & \alpha (x_2 - x_1 - f(x_1)) \\
\dot{x}_2 & = & x_1 - x_2 + x_3 \\
\dot{x}_3 & = & - \beta x_2
\end{array}
\right.
$$
with nonlinear characteristic
$$
f(x_1) =b x_1 +\frac{1}{2} (a-b) ( \| x_1+1 \| - \| x_1 - 1 \| ) \, .
$$
It is possible to have a Hamilton-Poisson realisation for this Chua’s system?
Salvatore Pullano
Dear Florian, try to take a look to the following work:
Stability Problems for Chua System with One Linear Control
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