Does the brain behave like a (complex) network? I. Dynamics

D Papo, JM Buldú - Physics of life reviews, 2024 - Elsevier
Graph theory is now becoming a standard tool in system-level neuroscience. However,
endowing observed brain anatomy and dynamics with a complex network structure does not …

Exponential synchronization for variable-order fractional discontinuous complex dynamical networks with short memory via impulsive control

R Li, H Wu, J Cao - Neural Networks, 2022 - Elsevier
This paper considers the exponential synchronization issue for variable-order fractional
complex dynamical networks (FCDNs) with short memory and derivative couplings via the …

Bursting and spiking activities in a Wilson neuron circuit with memristive sodium and potassium ion channels

Q Xu, K Wang, M Chen, F Parastesh, N Wang - Chaos, Solitons & Fractals, 2024 - Elsevier
The marvelous Wilson neuron model involves sodium and potassium ion currents, which
offer great significance in generating firing activities. This paper firstly deduces that the …

Higher-order simplicial synchronization of coupled topological signals

R Ghorbanchian, JG Restrepo, JJ Torres… - Communications …, 2021 - nature.com
Simplicial complexes capture the underlying network topology and geometry of complex
systems ranging from the brain to social networks. Here we show that algebraic topology is a …

Firing activity in an N-type locally active memristor-based Hodgkin–Huxley circuit

Q Xu, Y Fang, C Feng, F Parastesh, M Chen… - Nonlinear …, 2024 - Springer
Hodgkin–Huxley (HH) circuit can reproduce abundant neuronal firing activities, but it is hard
to physically implement the HH circuit. To solve this issue, an implementable HH circuit with …

Sampled-data synchronization of complex network based on periodic self-triggered intermittent control and its application to image encryption

H Zhou, Z Liu, D Chu, W Li - Neural Networks, 2022 - Elsevier
The aim of this paper is to investigate exponential synchronization issue of time-varying
multi-weights network with time delays (TMNTD) via periodic self-triggered intermittent …

Solvable dynamics of coupled high-dimensional generalized limit-cycle oscillators

W Zou, S He, DV Senthilkumar, J Kurths - Physical Review Letters, 2023 - APS
We introduce a new model consisting of globally coupled high-dimensional generalized limit-
cycle oscillators, which explicitly incorporates the role of amplitude dynamics of individual …

Effect of topology on delay-induced multiple resonances in locally driven systems

D Yu, Y Wu, L Yang, Y Zhao, Y Jia - Physica A: Statistical Mechanics and Its …, 2023 - Elsevier
Abstract Information transmission delays are inherent in neuronal systems and significantly
influence their dynamic properties. Recent studies have shown that delay-induced multiple …

Synchronization and state estimation for discrete-time coupled delayed complex-valued neural networks with random system parameters

Y Liu, B Shen, P Zhang - Neural Networks, 2022 - Elsevier
In this paper, an array of discrete-time coupled complex-valued neural networks (CVNNs)
with random system parameters and time-varying delays are introduced. The stochastic …

Nonfragile H Synchronization of BAM Inertial Neural Networks Subject to Persistent Dwell-Time Switching Regularity

H Shen, Z Huang, Z Wu, J Cao… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
This article concentrates on the synchronization of discrete-time persistent dwell-time (PDT)
switched bidirectional associative memory inertial neural networks with time-varying delays …