A review of the digital implementation of continuous-time fractional-order chaotic systems using FPGAs and embedded hardware

D Clemente-López, JM Munoz-Pacheco… - … Methods in Engineering, 2023 - Springer
The hallmark of fractional-order derivatives is a memory kernel to describe real-world
phenomena with a better approximation than classical calculus. In fractional-order chaotic …

A new hyperchaotic map based on discrete memristor and meminductor: dynamics analysis, encryption application, and DSP implementation

X Liu, J Mou, Y Zhang, Y Cao - IEEE Transactions on Industrial …, 2023 - ieeexplore.ieee.org
At present, discrete memristor is a focus of chaotic map**. However, the study of discrete
memcapacitor and discrete meminductor has not begun. In order to study the dynamics of …

A review on FPGA implementation of fractional-order systems and PID controllers

A Ali, K Bingi, R Ibrahim, PAM Devan… - AEU-International Journal …, 2024 - Elsevier
Fractional-order systems and controls utilize concepts from fractional calculus for modelling,
control designs, and practical applications. However, it can be challenging to transform …

An encryption application and FPGA realization of a fractional memristive chaotic system

SM Mohamed, WS Sayed, AH Madian, AG Radwan… - Electronics, 2023 - mdpi.com
The work in this paper extends a memristive chaotic system with transcendental
nonlinearities to the fractional-order domain. The extended system's chaotic properties were …

A high speed pseudo-random bit generator driven by 2D-discrete hyperchaos

Z Yang, Y Liu, Y Wu, Y Qi, F Ren, S Li - Chaos, Solitons & Fractals, 2023 - Elsevier
Abstract Pseudo-Random Number Generators (PRNGs) yielding numbers with high rates
and good randomness quality are crucial for security as networks expand in an ever …

Cancellable face recognition based on fractional-order Lorenz chaotic system and Haar wavelet fusion

IS Badr, AG Radwan, ESM El-Rabaie, LA Said… - Digital Signal …, 2021 - Elsevier
Cancellable biometrics is the art of generating distorted or encrypted templates of original
biometric templates. The evolution of cancellable biometrics is attributed to the advanced …

Analytical solutions of electrical circuits described by fractional conformable derivatives in Liouville-Caputo sense

VF Morales-Delgado, JF Gómez-Aguilar… - … -International Journal of …, 2018 - Elsevier
In this paper, new analytical solutions for the RL, LC and RLC electric circuits considering
conformable and β-derivatives of type Liouville-Caputo were analyzed. These solutions …

Designing a pseudorandom bit generator with a novel five-dimensional-hyperchaotic system

NT Nguyen, T Bui, G Gagnon, P Giard… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Dynamic and nonlinear systems are emerging as potential candidates for random bit
generation. In this context, chaotic systems, which are both dynamic and stochastic, are …

A 4d trigonometric-based memristor hyperchaotic map to ultra-fast prng

B Xu, X Luo, Y Wang, L Bai, K Chen… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Extensive research has demonstrated that memristors or trigonometric functions can
enhance the complexity of discrete chaotic maps. This article introduces a four-dimensional …

[HTML][HTML] Introduction to the fractional-order chaotic system under fractional operator in Caputo sense

N Sene - Alexandria Engineering Journal, 2021 - Elsevier
In this paper, we consider a new fractional-order chaotic system described by the Caputo
fractional derivative. This paper's main objective is to analyze the bifurcation maps to detect …