Integrable Hamiltonian systems on the symplectic realizations of $\text{e}(3{)}^{\ast }$

A. Odzijewicz, E. Wawreniuk

The phase space of a gyrostat with a fixed point and a heavy top is the Lie-Poisson space $\text{e}(3{)}^{\ast }\cong {\mathbb{R}}^3\times {\mathbb{R}}^3$ dual to the Lie algebra $\textbf{e}…