Mathematics > Home > Advances in Pure and Applied Mathematics > Issue 4 (September 2025) > Article
Jose S. Cánovas
Universidad Politécnica de Cartagena
Spain
Published on 4 September 2025 DOI : 10.21494/ISTE.OP.2025.1342
In this paper, we survey valuable results to analyze discrete models frequently appearing in social and natural sciences. We review some well-known results and tools to analyze these systems, trying to make them as practical as possible so that not only mathematicians but also physicists, economists or biologists can use them to explore their models. Applying these methods requires some basic knowledge of computational tools and basic programming. The reviewed topics vary from the local stability of equilibrium points to the characterization of topological and physically observable chaos.
In this paper, we survey valuable results to analyze discrete models frequently appearing in social and natural sciences. We review some well-known results and tools to analyze these systems, trying to make them as practical as possible so that not only mathematicians but also physicists, economists or biologists can use them to explore their models. Applying these methods requires some basic knowledge of computational tools and basic programming. The reviewed topics vary from the local stability of equilibrium points to the characterization of topological and physically observable chaos.
discrete dynamical systems stability periodicity bifurcations chaos entropy
discrete dynamical systems stability periodicity bifurcations chaos entropy
