About this Research Topic
In recent decades, applications of dynamical systems to the natural and social sciences have received much attention from many researchers who have produced interesting multidisciplinary results. Furthermore, the development of powerful computers has brought with it a powerful tool for analyzing and simulating dynamic models. Models are given by discrete or continuous time, but in the latter case, discretization often becomes necessary to produce useful results. So, discrete time dynamics plays a very important role not only for discrete models themselves, but also as a very important tool to be able to handle continuous time models, because computers work with discrete time.
This Research Topic is devoted to the study of dynamical systems from the natural and social sciences for which discrete dynamics play a very important role. Although discretization techniques for continuous time models derived from ordinary differential equations or partial differential equations can be also considered, we are interested in models stated by difference equations with the form x(n+1)=f(X(n)) for a suitable map f defined on the phase space.
The connection with chaos or unpredictable dynamics will be appreciated. We encourage the submission of papers dealing with the analysis of discrete models by using topological and metric entropy, Lyapunov exponents, stability criteria, metric attractors, chaos, etc. All the papers must have a clear application to natural and social sciences emphasizing the cooperation between mathematics and the above mentioned disciplines. Topics related to simulation and visualization of dynamics will be also considered.
We are interested in manuscripts related to the following subjects: economic dynamics, population dynamics, disease spreading, dynamics of physic models, computer tools for dynamical systems, applications of dynamics to coding theory, and in general to applications of the dynamical systems to other disciplines in a broad sense.
Keywords: Economic Dynamics, Dynamics in Biology, Dynamics in Physics, Mathematical Modeling, Chaos
Important Note: All contributions to this Research Topic must be within the scope of the section and journal to which they are submitted, as defined in their mission statements. Frontiers reserves the right to guide an out-of-scope manuscript to a more suitable section or journal at any stage of peer review.