Article citationsMore>>

Elaydi, S. (2019) Global Dynamics of Discrete Dynamical Systems and Difference Equations. In: Elaydi, S., Pötzsche, C. and Sasu, A., Eds., ICDEA 2017: Difference Equations, Discrete Dynamical Systems and Applications, Springer, Cham, 51-81.
https://doi.org/10.1007/978-3-030-20016-9_3

has been cited by the following article:

• TITLE: Analysis of Dynamical Behavior of One-Dimensional Real Maps: An Executable Dynamical Programming Software Approach

  AUTHORS: Mohammad Sharif Ullah, Masuda Akter, K. M. Ariful Kabir

  KEYWORDS: One-Dimensional Map, Cobweb, Orbit Diagram, Fixed Point, the Fate of the Orbit

  JOURNAL NAME: Applied Mathematics, Vol.14 No.9, September 28, 2023

  ABSTRACT: The dynamical behavior of real-world phenomena is implausible graphically due to the complexity of mathematical coding. The present article has mainly focused on some one-dimensional real maps’ dynamical behavior irrespective of using coding. In continuation, linear, quadratic, cubic, higher-order, exponential, logarithmic, and absolute value maps have been used to scrutinize their dynamical behavior, including the characteristics of the orbit of points. Dynamical programming software (DPS.exe) will be proposed as a new technique to ascertain the dynamical behavior of said maps. Thus, a mathematician can automatically determine one-dimensional real maps’ dynamical behavior apart from complicated programming code and analytical solutions.