Before revision: We extend the groupoid formalism of coupled cell networks as developed by Golubitsky, Stewart and their collaborators by recasting it in a categorical language .
After revision: We develop a new framework for the study of complex continuous time dynamical systems based on viewing them as collections of interacting control modules. This framework is inspired by and builds upon the groupoid formalism of Golubitsky, Stewart and their collaborators by recasting it in a categorical language .