Barbanti, L. [UNESP]Damasceno, Berenice Camargo [UNESP]2014-05-202014-05-202011-05-01Communications In Nonlinear Science and Numerical Simulation. Amsterdam: Elsevier B.V., v. 16, n. 5, p. 2328-2331, 2011.1007-5704http://hdl.handle.net/11449/10525The Hill's equations-even in the linear original version are a describer of phenomenon having chaotic flavor, giving sometimes very unusual situations. The theory of the so called intervals of instability in the equation provides the precise description for most of these phenomena. Considerations on nonlinearities into the Hill's equation is a quite recent task. The linearized version for almost of these systems it reduces to the Hill's classical linear one. In this paper, some indicative facts are pointed out on the possibility of having the linear system stabilizable and/or exactly controllable. As consequence of such an approach we get results having strong classical aspects, like the one talking about location of parameters in intervals of stability. A result for nonlinear proper periodic controls, is considered too. (C) 2010 Elsevier B.V. All rights reserved.2328-2331engNonlinear Hill's equationControlled Hill's equationPeriodic solutionsStabilityArtigo10.1016/j.cnsns.2010.04.061WOS:000286154500017Acesso restrito39165217845350818544475466862991