Open AccessDesign a Fractional Chaotic Logistic Dynamical System
Author(s) -
Adil K Bagheedh,
Salah H. Abid,
Sadiq A. Mehdi
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1963/1/012055
Subject(s) - attractor , logistic map , chaotic , matlab , representation (politics) , software , logistic function , fractional calculus , mathematics , computer science , control theory (sociology) , mathematical analysis , statistics , artificial intelligence , politics , political science , law , programming language , operating system , control (management)
In the present article, a new procedure to design a continuous fractional chaotic dynamical system with delay time from a logistic map by using sampled data representation of continuous time Caputo fractional models. An exact expression for the solution of the constructed method is found. In addition, the latest chaotic attractor that results is seen. Finally, using the MATLAB software, all theoretical results were numerically confirmed in this study.