It has been shown that Chua's system has a Hamiltonian-Poisson realization (Arieşanu 2013). That is, there exists a Hamiltonian $H=f(x)$ over $x\in \mathbb{R}^3$ and an skew-symmetric matrix $\Pi\in \mathbb{R}^{3,3}$ such that $\dot{x} = \Pi \cdot \nabla{H}$ gives Chua's system. (The matrix eleme...
@BAYMAX Hi. It was quite a while since I read something about this topic and I remember it vaguely. So I think I cannot be of much help. I am here just as an interested reader who tries to remember and learn.
Take a look at this article: atna-mam.utcluj.ro/index.php/Acta/article/view/318/308 It has terrible quality (I don't know why), but it's close to what you are looking
@BAYMAX I presume you noticed it's by the same author as your original paper on Chua's system. Another paper in that vein from the same author, which is on one hand for a different system but on the other hand actually readable: emis.de/journals/HOA/JAM/Volume2012/484028.pdf
