Giraldo, A.Rodríguez Sanjurjo, José Manuel2023-06-202023-06-202012978-84-695-4421-1https://hdl.handle.net/20.500.14352/45366In this survey we present some dynamical and topological properties of continuations of attractors and non-saddle sets of flows on manifolds. An interesting case occurs for the Lorenz system for parameter values close to the situation of preturbulence. A general result, motivated by this particular case, is presented.spabook parthttp://cisne.sim.ucm.es/record=b3232194~S6*spiopen access514515.1Dynamical systemContinuation of isolated invariant setsSingular continuationAttractorCuasi attractorshapeLorenz systemGeometríaTopología1204 Geometría1210 Topología