Sequential dynamical systems and applications to simulations

Abstract

Computer simulations are extensively used for business and science applications. However a simulation generically generates a certain class of dynamical system whose properties are poorly understood. We address some theoretical issues of computer simulations and illustrate our concepts for the simulation of circular one-lane traffic. We propose a certain class of discrete dynamical systems (SDS) that captures key features of computer simulations and then show how SDS techniques can be applied to a case of infrastructure simulations.