Bonotto, E. M.Federson, M.Gadotti, M. C. [UNESP]2022-04-282022-04-282021-12-05Journal of Differential Equations, v. 303, p. 123-155.1090-27320022-0396http://hdl.handle.net/11449/222452The aim of this paper is to obtain results on topological properties of flows for nonnegative time in the framework of generalized ODEs. We define the concept of generalized semiflow and we present some recursive properties as minimality and recurrence. Using correspondence theorems, we translate our results to measure differential equations which are known to be special cases of generalized ODEs. Some examples are presented to illustrate the theory.123-155engGeneralized ODEsGeneralized semiflowsMeasure differential equationsMinimalityRecurrencyArtigo10.1016/j.jde.2021.09.0132-s2.0-85115232121