Controlling chaotic systems by mutual redefinition of space and dynamics: an outlook of computational dynamics

A new method of extraction of unstable periodic orbits from chaotic dynamics is presented. This method is founded on a theorem of mutual redefinition between numbers (space) and processes (dynamics) to solve diagonalization problems. The computational relevance of the method is discussed in view of grating a characterization of chaotic dynamics in linear (not exponential) time. A possible informational use of this method is sketched.