Dynamics on higher-order networks: A review
Network science has evolved into an indispensable platform for studying complex systems.
But recent research has identified limits of classical networks, where links connect pairs of …
But recent research has identified limits of classical networks, where links connect pairs of …
[HTML][HTML] Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes
Higher-order networks have emerged as a powerful framework to model complex systems
and their collective behavior. Going beyond pairwise interactions, they encode structured …
and their collective behavior. Going beyond pairwise interactions, they encode structured …
[HTML][HTML] Synchronization in simplicial complexes of memristive Rulkov neurons
Simplicial complexes are mathematical constructions that describe higher-order interactions
within the interconnecting elements of a network. Such higher-order interactions become …
within the interconnecting elements of a network. Such higher-order interactions become …
Physical approach of a neuron model with memristive membranes
The membrane potential of a neuron is mainly controlled by the gradient distribution of
electromagnetic field and concentration diversity between intracellular and extracellular …
electromagnetic field and concentration diversity between intracellular and extracellular …
Estimation of the effect of magnetic field on a memristive neuron
F Wu, X Hu, J Ma - Applied Mathematics and Computation, 2022 - Elsevier
A cell's action potential can be induced by rapid pumping and changes in intracellular and
extracellular ions, and a magnetic field is generated to regulate neural activity effectively …
extracellular ions, and a magnetic field is generated to regulate neural activity effectively …
Stability of synchronization in simplicial complexes with multiple interaction layers
Understanding how the interplay between higher-order and multilayer structures of
interconnections influences the synchronization behaviors of dynamical systems is a …
interconnections influences the synchronization behaviors of dynamical systems is a …
Coexistence of infinitely many patterns and their control in heterogeneous coupled neurons through a multistable memristive synapse
Z Njitacke Tabekoueng, S Shankar Muni… - … Journal of Nonlinear …, 2022 - pubs.aip.org
The phenomenon of hidden heterogeneous extreme multistability is rarely reported in
coupled neurons. This phenomenon is investigated in this contribution using a model of a …
coupled neurons. This phenomenon is investigated in this contribution using a model of a …
Neuronal synchronization in time-varying higher-order networks
ABSTRACT A potential issue of interest is figuring out how the combination of temporal and
higher-order interactions influences the collective dynamics of the brain, specifically …
higher-order interactions influences the collective dynamics of the brain, specifically …
A novel memristive neuron model and its energy characteristics
Y Xie, Z Ye, X Li, X Wang, Y Jia - Cognitive Neurodynamics, 2024 - Springer
The functional neurons are basic building blocks of the nervous system and are responsible
for transmitting information between different parts of the body. However, it is less known …
for transmitting information between different parts of the body. However, it is less known …
A neuron model with nonlinear membranes
One-layer membrane separates the gradient field in and out of the cell, while some two-layer
membranes filled with excitable media/material are important to regulate the energy flow …
membranes filled with excitable media/material are important to regulate the energy flow …