Inicio  /  Applied Sciences  /  Vol: 11 Par: 1 (2021)  /  Artículo
ARTÍCULO
TITULO

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

Muhammad Haseeb Arshad    
Mahmoud Kassas    
Alaa E. Hussein and Mohammad A. Abido    

Resumen

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.

 Artículos similares

       
 
Costas P. Providakis, Maria G. Mousteraki and Georgia C. Providaki    
Without affecting the integrity or stability of the heritage monuments, vibration-based techniques provide useful solutions for acquiring global information about them. By studying the dynamic response to suitable excitation sources, it is feasible to de... ver más
Revista: Infrastructures

 
Redwan Ahmad, Mariia Zhuldybina, Xavier Ropagnol, Ngoc Duc Trinh, Chloé Bois, Juan Schneider and François Blanchard    
We designed and fabricated a terahertz (THz) frequency selective surface (FSS) based on two distinct additive manufacturing technologies, namely, printable electronics (PE) and three-dimensional (3D) printing. Silver nanoparticle ink was printed on a pol... ver más
Revista: Applied Sciences

 
Davood Khodadad, Behnam Tayebi, Amin Saremi and Satyam Paul    
An off-axis digital holographic interferometry technique integrated with a Mach?Zehnder interferometer based setup is demonstrated for measuring the temperature and temperature profile of a transparent medium. This technique offers several advantages: it... ver más
Revista: Applied Sciences

 
Seongil Kim and Youngjin Park    
We present a straightforward approach for reconstructing 3D celadon models from a single 2D image. The celadon is a historical example of the surface of revolution. Our approach uses a surface of revolution technique to generate the basic shape of the ce... ver más
Revista: Applied Sciences

 
May Zin Toe, Wai Kian Tan, Hiroyuki Muto, Go Kawamura, Atsunori Matsuda and Swee-Yong Pung    
As compared to other deposition techniques such as atomic layer deposition, chemical vapour deposition and sputtering, aerosol deposition (AD) is a simple and cost-effective technique to produce ZnO thin films. In this work, the effect of deposition cycl... ver más
Revista: Applied Sciences