A locally active discrete memristor model and its application in a hyperchaotic map

M Ma, Y Yang, Z Qiu, Y Peng, Y Sun, Z Li, M Wang - Nonlinear Dynamics, 2022 - Springer
The continuous memristor is a popular topic of research in recent years, however, there is
rare discussion about the discrete memristor model, especially the locally active discrete …

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 …

Memristor-coupled asymmetric neural networks: Bionic modeling, chaotic dynamics analysis and encryption application

H Lin, C Wang, J Sun, X Zhang, Y Sun, HHC Iu - Chaos, Solitons & Fractals, 2023 - Elsevier
With the rapid development of artificial intelligence, it has important theoretical and practical
significance to construct neural network models and study their dynamical behaviors. This …

A self-reproduction hyperchaotic map with compound lattice dynamics

Y Li, C Li, S Zhang, G Chen… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
In this article, sinusoidal functions are introduced to a discrete map for hyperchaos
generation and attractor self-reproduction. The constructed map shares a unique structure …

Coexisting firing patterns and phase synchronization in locally active memristor coupled neurons with HR and FN models

Z Li, H Zhou, M Wang, M Ma - Nonlinear Dynamics, 2021 - Springer
Local activity is regarded as the origin of complexity. In this study, a locally active memristor
with coexisting two stable pinched hysteresis loops and two local activity regions is …

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 …

Firing multistability in a locally active memristive neuron model

H Lin, C Wang, Y Sun, W Yao - Nonlinear Dynamics, 2020 - Springer
The theoretical, numerical and experimental demonstrations of firing dynamics in isolated
neuron are of great significance for the understanding of neural function in human brain. In …

Flux–Charge Analysis of Two-Memristor-Based Chua's Circuit: Dimensionality Decreasing Model for Detecting Extreme Multistability

M Chen, M Sun, H Bao, Y Hu… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
In this paper, from a new perspective of flux and charge, we present in-depth analyses of two
ideal memristor emulators and the fifth-order memristive Chua's circuit constructed based on …

Dynamics analysis and image encryption application of Hopfield neural network with a novel multistable and highly tunable memristor

W Yao, J Liu, Y Sun, J Zhang, F Yu, L Cui, H Lin - Nonlinear Dynamics, 2024 - Springer
Building artificial neural network models and studying their dynamic behaviors is extremely
important from both a theoretical and practical standpoint due to the rapid advancement of …