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

作　　者：Mohammad Sharif Ullah Masuda Akter K. M. Ariful Kabir Mohammad Sharif Ullah;Masuda Akter;K. M. Ariful Kabir(Department of Mathematics, Feni University, Feni, Bangladesh;Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh)

机构地区：[1]Department of Mathematics, Feni University, Feni, Bangladesh [2]Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh

出　　处：《Applied Mathematics》2023年第9期652-672,共21页应用数学（英文）

摘　　要：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.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.

关 键 词：One-Dimensional Map Cobweb Orbit Diagram Fixed Point the Fate of the Orbit 

分 类 号：O17[理学—数学]