Review on chaotic dynamics of memristive neuron and neural network

H Lin, C Wang, Q Deng, C Xu, Z Deng, C Zhou - Nonlinear Dynamics, 2021 - Springer
The study of dynamics on artificial neurons and neuronal networks is of great significance to
understand brain functions and develop neuromorphic systems. Recently, memristive …

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 …

Phase synchronization and energy balance between neurons

Y Xie, Z Yao, J Ma - Frontiers of Information Technology & Electronic …, 2022 - Springer
A functional neuron has been developed from a simple neural circuit by incorporating a
phototube and a thermistor in different branch circuits. The physical field energy is controlled …

Dynamical analysis of a new chaotic system: asymmetric multistability, offset boosting control and circuit realization

C Ma, J Mou, L Xiong, S Banerjee, T Liu, X Han - Nonlinear Dynamics, 2021 - Springer
In this paper, a new four-dimensional dissipative chaotic system which can produce multiple
asymmetric attractors is designed and its dynamical behaviors are analyzed. The basin of …

A discrete Chialvo–Rulkov neuron network coupled with a novel memristor model: Design, Dynamical analysis, DSP implementation and its application

H Cao, Y Wang, S Banerjee, Y Cao, J Mou - Chaos, Solitons & Fractals, 2024 - Elsevier
In this paper, a novel discrete flux-controlled memristor model combining square and cosine
function is proposed and its properties are analyzed. Then, the discrete memristor is used to …

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 …

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 …

Energy flow accounts for the adaptive property of functional synapses

FQ Wu, YT Guo, J Ma - Science China Technological Sciences, 2023 - Springer
In the presence of external stimuli and electromagnetic radiation (EMR), biological neurons
can exhibit different firing patterns and switch to appropriate firing modes because of …

Parallel bi-memristor hyperchaotic map with extreme multistability

H Bao, Y Gu, Q Xu, X Zhang, B Bao - Chaos, Solitons & Fractals, 2022 - Elsevier
Discrete memristors can be used to construct chaotic and hyperchaotic mapping models by
self-feedback or coupling method, but these constructed maps do not have multistability or …