Lie-Hamilton systems associated with the symplectic Lie algebra $\mathfrak{sp}(6,\mathbb{R})$

O. Carballal, R. Campoamor-Stursberg, F. J. Herranz

New classes of Lie-Hamilton systems are obtained from the six-dimensional fundamental representation of the symplectic Lie algebra $\mathfrak{sp}(6,\mathbb{R})$. The ansatz is base…