A Simple Technique for Studying Chaos Using Jerk Equation with Discrete Time Sine Map
Source abstract
Abstract
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.
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Research context
OpenAlex topics: Chaos control and synchronization · Quantum chaos and dynamical systems · Chaos-based Image/Signal Encryption
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Electrical Engineering, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia
K. A. CARE Energy Research & Innovation Center, Dhahran 31261, Saudi Arabia
Funding
King Fahd University of Petroleum and Minerals
References (45)
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