The aim of the author is to set into the frame of dynamical systems a recent theorem by F. Obersnel and P. Omari, [“Period two implies chaos for a class of ODEs,” Proc. Am. Math. Soc. 135, No. 7, 2055–2058 (2007; Zbl 1124.34335)], about the existence of subharmonic solutions of all orders for a class of time-periodic first order scalar differential equations without uniqueness, provided a subharmonic solution (for instance, of order two) does exist. Indeed, making use of the Bebutov flow, the author clarifies in what sense the term “chaos” should be understood and which dynamical features can be inferred for the system under consideration.