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 …

Fuzzy synchronization of chaotic systems with hidden attractors

J Zaqueros-Martinez, G Rodriguez-Gomez… - Entropy, 2023 - mdpi.com
Chaotic systems are hard to synchronize, and no general solution exists. The presence of
hidden attractors makes finding a solution particularly elusive. Successful synchronization …

[HTML][HTML] Investigation of the hyperchaos and control in the fractional order financial system with profit margin

MD Johansyah, A Sambas, S Qureshi, S Zheng… - … Differential Equations in …, 2024 - Elsevier
This research study proposes a novel hyperchaotic finance system with profit margin and
then utilizes the Adomian Decomposition Method (ADM) to tackle the solution of the …

Nonsingular Terminal Sliding Mode Control Based on Adaptive Barrier Function for nth-Order Perturbed Nonlinear Systems

KA Alattas, J Mostafaee, AK Alanazi, S Mobayen… - Mathematics, 2021 - mdpi.com
In this study, an adaptive nonsingular finite time control technique based on a barrier
function terminal sliding mode controller is proposed for the robust stability of n th-order …

Dynamics, control and secure transmission electronic circuit implementation of a new 3D chaotic system in comparison with 50 reported systems

K Benkouider, T Bouden, A Sambas… - IEEE …, 2021 - ieeexplore.ieee.org
The very high demand for chaotic systems in the fields of sciences, particularly in secure
communication, leads numerous researchers to build novel systems. This work announces a …

A comparison of embedded and non-embedded FPGA implementations for fractional chaos-based random number generators

D Clemente-López, JJ Rangel-Magdaleno… - Journal of Ambient …, 2023 - Springer
Fractional-order chaotic systems are a hot topic of research due to their applicability in all
related fields of science and engineering. For instance, they have been pointed out as a …

[PDF][PDF] A new chaotic jerk system with three nonlinearities and synchronization via adaptive backstepping control

S Vaidyanathan, ST Kingni, A Sambas… - International Journal of …, 2018 - academia.edu
Jerk systems are popular in mechanical engineering and chaotic jerk systems are used in
many applications as they have simple structure and complex dynamic properties. In this …

[PDF][PDF] Poincaré maps for detecting chaos in fractional-order systems with hidden attractors for its Kaplan-Yorke dimension optimization

D Clemente-López, E Tlelo-Cuautle, LG de la Fraga… - AIMS Math, 2022 - researchgate.net
The optimization of fractional-order (FO) chaotic systems is challenging when simulating a
considerable number of cases for long times, where the primary problem is verifying if the …

Assessing the maturity of the current global system for combating financial and cyber fraud

O Kuzmenko, H Yarovenko, L Perkhun - Statistics in Transition new …, 2023 - ceeol.com
The purpose of the article is to assess the maturity of systems for counteracting financial and
cyber fraud with the view of their future integration at global-level. The calculations made by …

A snail-shaped chaotic system with large bandwidth: Dynamical analysis, synchronization and secure communication scheme

K Benkouider, T Bouden, ME Yalcin - SN Applied Sciences, 2020 - Springer
In this paper, a snail-shaped chaotic system with large bandwidth is first introduced, it
contains two quadratic, one cubic and two quartic nonlinear terms. The new snail-shaped …