A review of chaotic systems based on memristive Hopfield neural networks

H Lin, C Wang, F Yu, J Sun, S Du, Z Deng, Q Deng - Mathematics, 2023 - mdpi.com
Since the Lorenz chaotic system was discovered in 1963, the construction of chaotic
systems with complex dynamics has been a research hotspot in the field of chaos. Recently …

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 memristive synapse control method to generate diversified multistructure chaotic attractors

H Lin, C Wang, C Xu, X Zhang… - IEEE transactions on …, 2022 - ieeexplore.ieee.org
Due to the synapse-like nonlinearity and memory characteristics, memristor is often used to
construct memristive neural networks with complex dynamical behaviors. However …

Chaos of calcium diffusion in Parkinson's infectious disease model and treatment mechanism via Hilfer fractional derivative

H Joshi, BK Jha - Mathematical Modelling and Numerical Simulation …, 2021 - dergipark.org.tr
Calcium is a vital element in our body and plays a crucial role to moderate the calcium
signalling process. Calcium-dependent protein and flux through the sodium-calcium …

Numerical computing to solve the nonlinear corneal system of eye surgery using the capability of Morlet wavelet artificial neural networks

BO Wang, JF Gomez-Aguilar, Z Sabir, MAZ Raja… - Fractals, 2022 - World Scientific
In this study, a novel heuristic computing technique is presented to solve bioinformatics
problem for the corneal shape model of eye surgery using Morlet wavelet artificial neural …

Analysis of the functional behavior of fractional-order discrete neuron under electromagnetic radiation

T Ma, J Mou, S Banerjee, Y Cao - Chaos, Solitons & Fractals, 2023 - Elsevier
Human evolution is divided into two parts, the evolution of DNA-dominated human body and
the evolution of brain-dominated human behavior. Therefore, the study of brain function …

Infinitely many coexisting attractors and scrolls in a fractional-order discrete neuron map

L Ren, L Qin, H Jahanshahi, J Mou - International Journal of …, 2023 - World Scientific
The neural network activation functions enable neural networks to have stronger fitting
abilities and richer dynamical behaviors. In this paper, an improved fractional-order discrete …

[HTML][HTML] New results for the stability of fractional-order discrete-time neural networks

A Hioual, TE Oussaeif, A Ouannas, G Grassi… - Alexandria Engineering …, 2022 - Elsevier
Fractional-order discrete-time neural networks represent a class of discrete systems
described by non-integer order difference operators. Even though the stability of these …

Intelligent Neural Integral Sliding-mode Controller for a space robotic manipulator mounted on a free-floating satellite

JE Lavín-Delgado, S Chávez-Vázquez… - Advances in Space …, 2023 - Elsevier
In this paper, a fractional neural integral sliding-mode controller based on the Caputo-
Fabrizio derivative and Riemann–Liouville integral for a robot manipulator mounted on a …

A new two-dimensional fractional discrete rational map: Chaos and complexity

MT Shatnawi, A Abbes, A Ouannas, IM Batiha - Physica Scripta, 2022 - iopscience.iop.org
In this paper, a new two-dimensional fractional-order discrete rational map with γth-Caputo
fractional difference operator is introduced. The study of the presence and stability of the …