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 synapse-coupled piecewise-linear simplified Hopfield neural network: Dynamics analysis and circuit implementation

S Ding, N Wang, H Bao, B Chen, H Wu, Q Xu - Chaos, Solitons & Fractals, 2023 - Elsevier
Electromagnetic induction current is generated between the adjacent neurons in neural
network caused by the existence of membrane potential difference. Memristor is the fourth …

A hyperchaotic map with a new discrete memristor model: Design, dynamical analysis, implementation and application

L Ren, J Mou, S Banerjee, Y Zhang - Chaos, Solitons & Fractals, 2023 - Elsevier
The memristor has received much attention in recent years because of its natural
nonlinearity, but the research on discrete memristor is just beginning. For this reason, a new …

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 …

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 …

Memristive Hopfield neural network dynamics with heterogeneous activation functions and its application

Q Deng, C Wang, H Lin - Chaos, Solitons & Fractals, 2024 - Elsevier
Activation functions play a crucial in emulating biological neurons within artificial neural
networks. However, the exploration of neural networks composed of various activation …

A chaotic image encryption scheme based on genetic central dogma and KMP method

Y Sha, S Bo, C Yang, J Mou… - International Journal of …, 2022 - World Scientific
In this paper, an image cryptosystem based on genetic central dogma (GCD), Knuth–Morria–
Pratt (KMP) algorithm and a chaotic system is developed. The KMP algorithm is firstly used …

Discretized locally active memristor and application in logarithmic map

H Li, C Li, J Du - Nonlinear Dynamics, 2023 - Springer
Compared with continuous memristor, discrete memristor is more suitable for the application
of memristor in discrete system. However, discrete memristor has not been fully appreciated …

A color image encryption algorithm based on hyperchaotic map and DNA mutation

X Gao, B Sun, Y Cao, S Banerjee, J Mou - Chinese Physics B, 2023 - iopscience.iop.org
We devise a color image encryption scheme via combining hyperchaotic map, cross-plane
operation and gene theory. First, the hyperchaotic map used in the encryption scheme is …