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 …

Fractional-order discrete-time SIR epidemic model with vaccination: Chaos and complexity

ZY He, A Abbes, H Jahanshahi, ND Alotaibi, Y Wang - Mathematics, 2022 - mdpi.com
This research presents a new fractional-order discrete-time susceptible-infected-recovered
(SIR) epidemic model with vaccination. The dynamical behavior of the suggested model is …

Event-triggered control for robust exponential synchronization of inertial memristive neural networks under parameter disturbance

W Yao, C Wang, Y Sun, S Gong, H Lin - Neural Networks, 2023 - Elsevier
Synchronization of memristive neural networks (MNNs) by using network control scheme
has been widely and deeply studied. However, these researches are usually restricted to …

Initial offset boosting coexisting attractors in memristive multi-double-scroll Hopfield neural network

S Zhang, J Zheng, X Wang, Z Zeng, S He - Nonlinear Dynamics, 2020 - Springer
Memristors are widely considered to be promising candidates to mimic biological synapses.
In this paper, by introducing a non-ideal flux-controlled memristor model into a Hopfield …

Fractional sliding-mode control for microgyroscope based on multilayer recurrent fuzzy neural network

J Fei, Z Wang, X Liang, Z Feng… - IEEE transactions on fuzzy …, 2021 - ieeexplore.ieee.org
In this article, an approximation-based adaptive fractional sliding-mode control (SMC)
scheme is proposed for a microgyroscope, where a double-loop recurrent fuzzy neural …

Spectral entropy analysis and synchronization of a multi-stable fractional-order chaotic system using a novel neural network-based chattering-free sliding mode …

PY Xiong, H Jahanshahi, R Alcaraz, YM Chu… - Chaos, Solitons & …, 2021 - Elsevier
An immense body of research has focused on chaotic systems, mainly because of their
interesting applications in a wide variety of fields. A comprehensive understanding and …

[HTML][HTML] The effect of market confidence on a financial system from the perspective of fractional calculus: Numerical investigation and circuit realization

SB Chen, H Jahanshahi, OA Abba… - Chaos, Solitons & …, 2020 - Elsevier
Modeling and analysis of financial systems have been interesting topics among researchers.
The more precisely we know dynamic of systems, the better we can deal with them. This …

Regulating memristive neuronal dynamical properties via excitatory or inhibitory magnetic field coupling

Z Wen, C Wang, Q Deng, H Lin - Nonlinear dynamics, 2022 - Springer
The ion exchange in neurons can trigger time-varying magnetic fields. According to the
superposition field principle, each neuron is exposed to the integrated magnetic field …

Deep recurrent neural networks with finite-time terminal sliding mode control for a chaotic fractional-order financial system with market confidence

YL Wang, H Jahanshahi, S Bekiros, F Bezzina… - Chaos, Solitons & …, 2021 - Elsevier
Disturbances are inevitably found in almost every system and, if not rejected, they could
jeopardize the effectiveness of control methods. Thereby, employing state-of-the-art …

On the development of variable-order fractional hyperchaotic economic system with a nonlinear model predictive controller

H Jahanshahi, SS Sajjadi, S Bekiros, AA Aly - Chaos, Solitons & Fractals, 2021 - Elsevier
Mathematical modelling plays an indispensable role in our understanding of systems and
phenomena. However, most mathematical models formulated for systems either have an …