Synchronization transitions in a discrete memristor-coupled bi-neuron model
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 …
current is unavoidably induced, which can be imitated by a flux-controlled memristor. To …
Parallel bi-memristor hyperchaotic map with extreme multistability
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 …
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
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 …
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
Recently, discrete memristor maps can be directly constructed using discrete memristors.
However, some discrete memristors with reciprocal polynomial memristances cannot be …
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 …
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 …
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 …
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
Synaptic plasticity makes memristors particularly suitable for simulating the connection
synapses between neurons that describe magnetic induction coupling. By applying a …
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
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 …
a new hyperbolic-type memristor as self-synaptic weight. The current–voltage characteristics …
Multistability and synchronization of discrete maps via memristive coupling
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 …
from the traditional resistive nonlinearity. It has been proved that the memristive nonlinearity …