[HTML][HTML] 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 …

Memristor-induced hyperchaos, multiscroll and extreme multistability in fractional-order HNN: Image encryption and FPGA implementation

X Kong, F Yu, W Yao, S Cai, J Zhang, H Lin - Neural Networks, 2024 - Elsevier
Fractional-order differentiation (FOD) can record information from the past, present, and
future. Compared with integer-order systems, FOD systems have higher complexity and …

High-dimensional memristive neural network and its application in commercial data encryption communication

C Wang, D Tang, H Lin, F Yu, Y Sun - Expert Systems with Applications, 2024 - Elsevier
With the development of economic globalization, demands for digital business data sharing
among different subsidiary companies are constantly emerging. How to achieve secure …

A triple-memristor Hopfield neural network with space multistructure attractors and space initial-offset behaviors

H Lin, C Wang, F Yu, Q Hong, C Xu… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Memristors have recently demonstrated great promise in constructing memristive neural
networks with complex dynamics. This article proposes a memristive Hopfield neural …

A family of memristive multibutterfly chaotic systems with multidirectional initial-based offset boosting

H Lin, C Wang, S Du, W Yao, Y Sun - Chaos, Solitons & Fractals, 2023 - Elsevier
Memristors are commonly used to construct memristive chaotic systems with complex
dynamics because of their strong nonlinearity and unique memory effects. In this paper, a …

Dynamics analysis, synchronization and FPGA implementation of multiscroll Hopfield neural networks with non-polynomial memristor

F Yu, X Kong, W Yao, J Zhang, S Cai, H Lin… - Chaos, Solitons & …, 2024 - Elsevier
The number of attractors in a memristor-based multiscroll Hopfield Neural Network (HNN) is
typically coupled with the number of polynomials, which leads to a coupling between the …

A class of 2n+ 1 dimensional simplest Hamiltonian conservative chaotic systems and fast image encryption schemes

X Kong, F Yu, W Yao, C Xu, J Zhang, S Cai… - Applied Mathematical …, 2024 - Elsevier
Compared with dissipative systems, conservative systems do not have attractors, thus they
can better cope with the security risks brought by phase space reconstruction. In this paper …

Synchronization coexistence in a Rulkov neural network based on locally active discrete memristor

ML Ma, XH Xie, Y Yang, ZJ Li, YC Sun - Chinese Physics B, 2023 - iopscience.iop.org
At present, many neuron models have been proposed, which can be divided into discrete
neuron models and continuous neuron models. Discrete neuron models have the …

Dynamical behavior of memristor-coupled heterogeneous discrete neural networks with synaptic crosstalk

M Ma, K Xiong, Z Li, S He - Chinese Physics B, 2024 - iopscience.iop.org
Synaptic crosstalk is a prevalent phenomenon among neuronal synapses, playing a crucial
role in the transmission of neural signals. Therefore, considering synaptic crosstalk behavior …

Grid multi-scroll attractors in memristive Hopfield neural network under pulse current stimulation and multi-piecewise memristor

Q Wan, S Chen, Q Yang, J Liu, K Sun - Nonlinear Dynamics, 2023 - Springer
Grid multi-scroll attractors are widely studied in the traditional chaotic systems but are rarely
appeared in the neural network systems. This paper proposes a novel method for …