Parallel discrete dynamical systems on maxterm and minterm Boolean functions

This work is devoted to giving a complete characterization of the orbit structure of parallel discrete dynamical systems with maxterm and minterm Boolean functions as global functions. In this sense, first of all, we analyze what happens with the simplest maxterm and minterm and then we extend our analysis to the rest of the maxterms and minterms. As a result, it is shown that the orbit structure does not remain when the system is perturbed.