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 …

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 …

A dream that has come true: Chaos from a nonlinear circuit with a real memristor

CK Volos, VT Pham, HE Nistazakis… - International Journal of …, 2020 - World Scientific
In the last decade, researchers, who work in the field of nonlinear circuits, have the “dream”
to use a real memristor, which is the only nonlinear fundamental circuit element, in a new or …

A novel simple chaotic circuit based on memristor–memcapacitor

X Ma, J Mou, J Liu, C Ma, F Yang, X Zhao - Nonlinear Dynamics, 2020 - Springer
In this paper, we focus on a novel simple chaotic circuit with a memristor, a memcapacitor
and a linear inductor in parallel. Then we establish the circuit's dimensionless mathematical …

Physical approach of a neuron model with memristive membranes

Y Guo, F Wu, F Yang, J Ma - Chaos: An Interdisciplinary Journal of …, 2023 - pubs.aip.org
The membrane potential of a neuron is mainly controlled by the gradient distribution of
electromagnetic field and concentration diversity between intracellular and extracellular …

Analysis and FPGA Realization of a Novel 5D Hyperchaotic Four‐Wing Memristive System, Active Control Synchronization, and Secure Communication Application

F Yu, L Liu, B He, Y Huang, C Shi, S Cai, Y Song… - …, 2019 - Wiley Online Library
By introducing a flux‐controlled memristor with quadratic nonlinearity into a 4D hyperchaotic
system as a feedback term, a novel 5D hyperchaotic four‐wing memristive system (HFWMS) …

Bursting oscillations and coexisting attractors in a simple memristor-capacitor-based chaotic circuit

N Wang, G Zhang, H Bao - Nonlinear Dynamics, 2019 - Springer
The design and analysis of a simple autonomous memristive chaotic circuit are important in
theoretical, numerical, and experimental demonstrations of complex dynamics. In this paper …

A simple Jerk-like system without equilibrium: Asymmetric coexisting hidden attractors, bursting oscillation and double full Feigenbaum remerging trees

S Zhang, Y Zeng - Chaos, Solitons & Fractals, 2019 - Elsevier
The topic associated with hidden attractor and multistability has been received considerable
attention recently. In this paper, a novel no-equilibrium Jerk-like chaotic system is …

Non-ideal memristor synapse-coupled bi-neuron Hopfield neural network: Numerical simulations and breadboard experiments

C Chen, H Bao, M Chen, Q Xu, B Bao - AEU-International Journal of …, 2019 - Elsevier
This paper presents a third-order non-ideal memristor synapse-coupled bi-neuron Hopfield
neural network (HNN), in which a non-ideal memristor synapse is employed to generate an …

Multistability and synchronization of discrete maps via memristive coupling

H Bao, K Rong, M Chen, X Zhang, B Bao - Chaos, Solitons & Fractals, 2023 - Elsevier
Due to its internal state, the memristive nonlinearity has different dynamic characteristics
from the traditional resistive nonlinearity. It has been proved that the memristive nonlinearity …