RNG and circuit implementation of a fractional order chaotic attractor based on two degrees of freedom nonlinear system

Arıcıoğlu, Burak

doi:10.1007/s10470-022-02040-z

Cited by 5 publications

(1 citation statement)

References 18 publications

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“…The electronic circuit is made using fifteen resistors, three summing operational amplifiers and three inverting operational amplifiers, six multipliers and three capacitors. For the fractional integrator we consider an approximate transfer function at 𝑞 = 0.99, we can take the approximate formula defined as follows [36]:…”

Section: Analog Circuit Simulationmentioning

confidence: 99%

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

2023

Archives of Control Sciences

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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.

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Section: Analog Circuit Simulationmentioning

confidence: 99%

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

2023

Archives of Control Sciences

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Bird-Like Trajectories in 6D Chaotic System Integrated with Fractional Order Derivative, Memristor, and Encryption

Qureshi

2024

NODYCON Conference Proceedings Series

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A 4-D four-wing chaotic system with widely chaotic regions and multiple transient transitions

Li,

Chai,

Wang

2024

Analog Integr Circ Sig Process

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RNG and circuit implementation of a fractional order chaotic attractor based on two degrees of freedom nonlinear system

Cited by 5 publications

References 18 publications

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

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

Bird-Like Trajectories in 6D Chaotic System Integrated with Fractional Order Derivative, Memristor, and Encryption

A 4-D four-wing chaotic system with widely chaotic regions and multiple transient transitions

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