[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 …

Lower-dimensional simple chaotic systems with spectacular features

Z Wang, A Ahmadi, H Tian, S Jafari, G Chen - Chaos, Solitons & Fractals, 2023 - Elsevier
Lower-dimensional chaotic systems are easily implementable and cost-effective, therefore,
more desirable for practical considerations. Not only can such systems preserve basic …

Memristive Rulkov neuron model with magnetic induction effects

K Li, H Bao, H Li, J Ma, Z Hua… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
The magnetic induction effects have been emulated by various continuous memristive
models but they have not been successfully described by a discrete memristive model yet …

Offset-control plane coexisting behaviors in two-memristor-based Hopfield neural network

H Bao, M Hua, J Ma, M Chen… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Memristor synapse with activated synaptic plasticity can be taken as an adaptive connection
synaptic weight. To demonstrate its kinetic effects, in this article, we present an improved …

Discrete memristor hyperchaotic maps

H Bao, Z Hua, H Li, M Chen… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Regarding as a basic circuit component with special nonlinearity, memristor has been
widely applied in chaotic circuits and neuromorphic circuits. However, discrete memristor …

Two-dimensional memristive hyperchaotic maps and application in secure communication

H Li, Z Hua, H Bao, L Zhu, M Chen… - IEEE transactions on …, 2020 - ieeexplore.ieee.org
Continuous memristor has been widely used in chaotic oscillating circuits and neuromorphic
computing systems. However, discrete memristor and its coupling discrete map have not …

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 …

Memristor-based hyperchaotic maps and application in auxiliary classifier generative adversarial nets

H Bao, Z Hua, H Li, M Chen… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
With the nonlinearity and plasticity, memristors are widely used as nonlinear devices for
chaotic oscillations or as biological synapses for neuromorphic computations. But discrete …

A multi-stable memristor and its application in a neural network

H Lin, C Wang, Q Hong, Y Sun - IEEE Transactions on Circuits …, 2020 - ieeexplore.ieee.org
Nowadays, there is a lot of study on memristor-based systems with multistability. However,
there is no study on memristor with multistability. This brief constructs a mathematical …

Synchronization transitions in a discrete memristor-coupled bi-neuron model

K Li, B Bao, J Ma, M Chen, H Bao - Chaos, Solitons & Fractals, 2022 - Elsevier
When synaptic connection is created to couple two neurons, the electromagnetic induction
current is unavoidably induced, which can be imitated by a flux-controlled memristor. To …