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 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 …

Dynamics analysis and hardware implementation of multi-scroll hyperchaotic hidden attractors based on locally active memristive Hopfield neural network

D Tang, C Wang, H Lin, F Yu - Nonlinear Dynamics, 2024 - Springer
It is believed that local activation is the origin of all complexities, and the locally active
memristive synaptic neural network can generate complex chaotic dynamic behaviors, such …

Firing pattern in a memristive Hodgkin–Huxley circuit: Numerical simulation and analog circuit validation

Q Xu, Y Wang, B Chen, Z Li, N Wang - Chaos, Solitons & Fractals, 2023 - Elsevier
Spiking firing patterns and their hardware implementation can assist us in exploring spike-
based applications. The classical Hodgkin–Huxley circuit can generate spiking firing …

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 …

A chaotic image encryption method based on the artificial fish swarms algorithm and the DNA coding

Y Zhu, C Wang, J Sun, F Yu - Mathematics, 2023 - mdpi.com
Aiming at the problems of small key space and weak resistance to differential attacks in
existing encryption algorithms, we proposed a chaotic digital image encryption scheme …

Multistability and phase synchronization of Rulkov neurons coupled with a locally active discrete memristor

M Ma, Y Lu, Z Li, Y Sun, C Wang - Fractal and Fractional, 2023 - mdpi.com
In order to enrich the dynamic behaviors of discrete neuron models and more effectively
mimic biological neural networks, this paper proposes a bistable locally active discrete …

Dynamics analysis, FPGA realization and image encryption application of a 5D memristive exponential hyperchaotic system

F Yu, S Xu, X Xiao, W Yao, Y Huang, S Cai, B Yin, Y Li - Integration, 2023 - Elsevier
The exponential function is one of the basic elementary functions, which plays an
irreplaceable role in mathematics and is also widely used in practical activities such as life …

A memristive spiking neural network circuit with selective supervised attention algorithm

Z Deng, C Wang, H Lin, Y Sun - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Spiking neural networks (SNNs) are biologically plausible and computationally powerful.
The current computing systems based on the von Neumann architecture are almost the …

Dynamic behavior analysis and synchronization of memristor-coupled heterogeneous discrete neural networks

M Ma, K Xiong, Z Li, Y Sun - Mathematics, 2023 - mdpi.com
Continuous memristors have been widely studied in recent years; however, there are few
studies on discrete memristors in the field of neural networks. In this paper, a four-stable …