Probing 3D chaotic Thomas’ cyclically attractor with multimedia encryption and electronic circuitry

• Autorzy: Khan NajeebAlam , Qureshi Muhammad Ali , Akbar Saeed , Ara Asmat

Identyfikatory

DOI

10.24425/acs.2023.145120

• Języki publikacji: EN

Abstrakty

EN

This study investigates Thomas’ cyclically symmetric attractor dynamics with mathematical and electronic simulations using a proportional fractional derivative to comprehend the dynamics of a given chaotic system. The three-dimensional chaotic flow was examined in detail with Riemann-Liouville derivative for different values of the fractional index to highlight the sensitivity of chaotic systems with initial conditions. Thus, the dynamics of the fractional index system were investigated with Eigenvalues, Kaplan-Yorke dimension, Lyapunov exponent, and NIST testing, and their corresponding trajectories were visualized with phase portraits, 2D density plot, and Poincaré maps. After obtaining the results, we found that the integer index dynamics are more complex than the fractional index dynamics. Furthermore, the chaotic system circuit is simulated with operational amplifiers for different fractional indices to generate analog signals of the symmetric attractor, making it an important aspect of engineering. The qualitative application of our nonlinear chaotic system is then applied to encrypt different data types such as voice, image, and video, to ensure that the developed nonlinear chaotic system can widely applied in the field of cyber security.

Słowa kluczowe

EN

Thomas’ cyclically attractor; fractional calculus; chaos; encryption

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2023
• Tom: Vol. 33, No. 1
• Strony: 239--271
• Opis fizyczny: Bibliogr. 39 poz., fot., rys., tab., wzory

Twórcy

autor

Khan NajeebAlam

• Department of Mathematics, University of Karachi, Karachi 75270, Pakistan

autor

Qureshi Muhammad Ali

• Department of Physics, University of Karachi, Karachi 75270, Pakistan

autor

Akbar Saeed

• Department of Mathematics, University of Karachi, Karachi 75270, Pakistan

autor

Ara Asmat

• College of Humanities and Sciences, PAF-KIET, Karachi 75190, Pakistan

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)