EJMT Abstract

In this study, we have developed interactive tools in SageMath for the mathematical and geometric analysis of Discrete Dynamical Systems (DDS). By using these interactive tools, user can obtain the stability of fixed points, cobweb diagrams, time series, and bifurcation diagrams for one dimensional maps; phase diagrams, time series, and bifurcation diagrams for two-dimensional maps. In addition, we introduce a novel tool which helps us to know what type of bifurcations (if any) occur for a two-dimensional DDS.