A Simple Technique for Studying Chaos Using Jerk Equation with Discrete Time Sine Map

被引：7

作者：

Arshad, Muhammad Haseeb ^{[1
]}

Kassas, Mahmoud ^{[1
]}

Hussein, Alaa E. ^{[1
]}

Abido, Mohammad A. ^{[1
,2
]}

机构：

[1] King Fand Univ Petr & Minerals, Dept Elect Engn, Dhahran 31261, Saudi Arabia

[2] KA CARE Energy Res & Innovat Ctr, Dhahran 31261, Saudi Arabia

来源：

APPLIED SCIENCES-BASEL | 2021年 / 11卷 / 01期

关键词：

chaos; jerk equation; sine map; bifurcation; Lyapunov exponent; Poincare section; correlation dimension; ATTRACTORS; BEHAVIOR; DYNAMICS; SYSTEMS; DRIVEN;

D O I：

10.3390/app11010437

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

Over the past decade, chaotic systems have found their immense application in different fields, which has led to various generalized, novel, and modified chaotic systems. In this paper, the general jerk equation is combined with a scaled sine map, which has been approximated in terms of a polynomial using Taylor series expansion for exhibiting chaotic behavior. The paper is based on numerical simulation and experimental verification of the system with four control parameters. The proposed system's chaotic behavior is verified by calculating different chaotic invariants using MATLAB, such as bifurcation diagram, 2-D attractor, Fourier spectra, correlation dimension, and Maximum Lyapunov Exponent. Experimental verification of the system was carried out using Op-Amps with analog multipliers.

引用

页码：1 / 16

页数：16

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