2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70585Motivated by the study in Morse theory and Smale's work in dynamics, the following questions are studied and answered: (1) When does a 3-manifold admit an automorphism having a knotted Smale solenoid as an attractor? (2) When does a 3-manifold admit an automorphism whose non-wandering set consists of Smale solenoids? The result presents some intrinsic symmetries for a class of 3-manifolds.16 pages, 8 figuresGeometric TopologyDynamical Systems57N10, 58K05, 37E99, 37D45text