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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 …
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
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 …
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
Fractional-order systems and controls utilize concepts from fractional calculus for modelling,
control designs, and practical applications. However, it can be challenging to transform …
control designs, and practical applications. However, it can be challenging to transform …
An encryption application and FPGA realization of a fractional memristive chaotic system
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 …
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 …
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
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 …
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
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 …
conformable and β-derivatives of type Liouville-Caputo were analyzed. These solutions …
Designing a pseudorandom bit generator with a novel five-dimensional-hyperchaotic system
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 …
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 …
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 …
fractional derivative. This paper's main objective is to analyze the bifurcation maps to detect …