“…It is quite an easy exercise to show that the considered We finally would like to stress that the existence of equilibria can be inferred from other assumptions. For instance, it turns out that if all the solutions x(t), with x(0) ∈ IR n of a dynamical systemẋ = f (x), with sufficiently regular f are ultimately bounded inside a compact set, then there is necessarily an equilibrium pointx, (i.e., f (x) = 0) in such a set (see, for instance, [Srz85,Hal88,RW02]). …”