2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/8611We propose a geometrical approach to the investigation of Hamiltonian systems on (Pseudo) Riemannian manifolds. A new geometrical criterion of instability and chaos is proposed. This approach is more generic than well known reduction to the geodesic flow. It is applicable to various astrophysical and cosmological problems.14 pagesAstrophysicsGeneral Relativity and Quantum CosmologyDynamical Systemstext