2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61836We present an equivariant Liapunov stability criterion for dynamical systems with symmetry. This result yields a simple proof of the energy-momentum-Casimir stability analysis of relative equilibria of equivariant Hamiltonian systems.5 pagesDifferential GeometryDynamical SystemsSymplectic Geometry37J15; 37J25An Equivariant Liapunov Stability Test and the Energy-Momentum-Casimir Methodtext