Discrete Dynamical Systems: A Brief Survey

Dynamical system is a mathematical formalization for any fixed rule that is described in time dependent fashion. The time can be measured by either of the number systems - integers, real numbers, complex numbers. A discrete dynamical system is a dynamical system whose state evolves over a state spac...

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Bibliographic Details
Main Author: Fernandes, S. (author)
Other Authors: Ramos, C. (author), Thapa, G. (author), Lopes, L. (author), Gracio, C. (author)
Format: article
Language:eng
Published: 2019
Subjects:
Online Access:http://hdl.handle.net/10174/25944
Country:Portugal
Oai:oai:dspace.uevora.pt:10174/25944
Description
Summary:Dynamical system is a mathematical formalization for any fixed rule that is described in time dependent fashion. The time can be measured by either of the number systems - integers, real numbers, complex numbers. A discrete dynamical system is a dynamical system whose state evolves over a state space in discrete time steps according to a fixed rule. This brief survey paper is concerned with the part of the work done by José Sousa Ramos [2] and some of his research students. We present the general theory of discrete dynamical systems and present results from applications to geometry, graph theory and synchronization.