As a first step toward realizing a dynamical system that evolves while spontaneously determining its own rule for time evolution, function dynamics (FD) is analyzed. FD consists of a functional equation with a self-referential term, given as a dynamical system of a one-dimensional map. Through the time evolution of this system, a dynamical graph (a network) emerges. This graph has three interesting properties: (i) vertices appear as stable elements, (ii) the terminals of directed edges change… CONTINUE READING