The emergence of regular behavior is one of the most studied topics in nonlinear dynamical systems. It is known that by the changing of an accessible parameter of a chaotic system, chaos can be replaced by a stable periodic behavior. In this talk, I will review some recent results which accounts to clarifying what are the general conditions under which one can surely replace chaos into stable periodic behavior (or vice-versa) by a parameter alteration. In particular, I show that for systems that possess k positive Lyapunov exponents, one can always find stable periodic behavior by altering simultaneously k control parameters. This theoretical result, is a consequence of the fact that the parameter values for which stable periodic behavior appears in nonlinear systems can be written in terms of a function with particular topological properties. Then, I will describe a recent experiment realized to verify such a theoretical result.