2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80472Hamiltonian formulation of N=3 systems is considered in general. The most general solution of the Jacobi equation in ${\mathbb R}^3$ is proposed. Compatible Poisson structures and the corresponding bi-Hamiltonian N=3 systems are also discussed.A reference is correctedExactly Solvable and Integrable SystemsHigh Energy Physics - TheoryDifferential GeometryDynamical SystemsAll Poisson Structures in $R^3$text