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.