2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59566For a symmetric Hamiltonian system, lower bounds for the number of relative equilibria surrounding stable and formally unstable relative equilibria on nearby energy levels are given.24 pages. The results on bifurcation of relative equilibria have undergone major improvements. The results on periodic and relative periodic orbits have been eliminatedDifferential GeometryDynamical SystemsSymplectic Geometry70H05; 37J15text