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 …

Creation of heterogeneity or defects in a memristive neural network under energy flow

F Yang, Y Wang, J Ma - … in Nonlinear Science and Numerical Simulation, 2023 - Elsevier
The field energy in neuron can be changed under shape deformation because of external
energy injection into the media. The electromagnetic field superposition enables energy …

Complex dynamics and initial state effects in a two-dimensional sine-bounded memristive map

B Bao, Q Zhao, X Yu, H Wu, Q Xu - Chaos, Solitons & Fractals, 2023 - Elsevier
Recently, discrete memristor maps can be directly constructed using discrete memristors.
However, some discrete memristors with reciprocal polynomial memristances cannot be …

Dynamics and synchronization of complex-valued ring networks

X Zhao, J Liu, G Chen, L Chai… - International Journal of …, 2022 - World Scientific
Networks of coupled oscillators have been used to model various real-world self-organizing
systems. However, the dynamics, especially chaos and bifurcation, of complex-valued …

Various patterns of coexisting attractors in a hyperchaotic map

H Gu, C Li, Y Li, X Ge, T Lei - Nonlinear Dynamics, 2023 - Springer
A hyperchaotic map with various patterns of coexisting attractors is found by introducing
trigonometric functions. The periodicity of trigonometric functions, as a key factor of …

Routes toward chaos in a memristor-based Shinriki circuit

F Min, L Xue - Chaos: An Interdisciplinary Journal of Nonlinear …, 2023 - pubs.aip.org
In this paper, the complex routes to chaos in a memristor-based Shinriki circuit are
discussed semi-analytically via the discrete implicit mapping method. The bifurcation trees of …

Memristor-coupled dual-neuron mapping model: initials-induced coexisting firing patterns and synchronization activities

B Bao, J Hu, H Bao, Q Xu, M Chen - Cognitive Neurodynamics, 2024 - Springer
Synaptic plasticity makes memristors particularly suitable for simulating the connection
synapses between neurons that describe magnetic induction coupling. By applying a …

Hidden extreme multistability and its control with selection of a desired attractor in a non-autonomous Hopfield neuron

IS Doubla, B Ramakrishnan, ZT Njitacke… - … -International Journal of …, 2022 - Elsevier
In this article, a single nonautonomous Hopfield neuron is investigated. This neuron involves
a new hyperbolic-type memristor as self-synaptic weight. The current–voltage characteristics …

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 …