[HTML][HTML] Symmetries and cluster synchronization in multilayer networks

F Della Rossa, L Pecora, K Blaha, A Shirin… - Nature …, 2020 - nature.com
Real-world systems in epidemiology, social sciences, power transportation, economics and
engineering are often described as multilayer networks. Here we first define and compute …

Desynchronization transitions in adaptive networks

R Berner, S Vock, E Schöll, S Yanchuk - Physical Review Letters, 2021 - APS
Adaptive networks change their connectivity with time, depending on their dynamical state.
While synchronization in structurally static networks has been studied extensively, this …

Synchronization of bursting memristive Josephson junctions via resistive and magnetic coupling

F Wu, Y Guo, J Ma, W Jin - Applied Mathematics and Computation, 2023 - Elsevier
Some electronic components including memristors and Josephson junctions have potential
application to mimic biological neurons or synapses characteristics. In this paper, an …

Birth and stabilization of phase clusters by multiplexing of adaptive networks

R Berner, J Sawicki, E Schöll - Physical review letters, 2020 - APS
We propose a concept to generate and stabilize diverse partial synchronization patterns
(phase clusters) in adaptive networks which are widespread in neuroscience and social …

Symmetry-independent stability analysis of synchronization patterns

Y Zhang, AE Motter - SIAM Review, 2020 - SIAM
The field of network synchronization has seen tremendous growth following the introduction
of the master stability function (MSF) formalism, which enables the efficient stability analysis …

Stability of Hopfield neural network with resistive and magnetic coupling

F Wu, T Kang, Y Shao, Q Wang - Chaos, Solitons & Fractals, 2023 - Elsevier
Inspired by the interplay between both electrical and chemical synapses, we propose an
analog electronic synapse-like model to characterize biological synaptic properties. By …

Intralayer synchronization in evolving multiplex hypernetworks: Analytical approach

S Rakshit, BK Bera, EM Bollt, D Ghosh - SIAM Journal on Applied Dynamical …, 2020 - SIAM
In this paper, we study intralayer synchronization of multiplex networks where nodes in each
layer interact through diverse types of coupling functions associated with different time …

Inter-layer synchronization on a two-layer network of unified chaotic systems: the role of network nodal dynamics

L Tang, J Wang, J Liang - Chaos, Solitons & Fractals, 2023 - Elsevier
The interplay between synchronization across layers and structures within layers still
remains far unclear in multi-layer networks. Via our newly-constructed two-layer network …

Regulating firing rates in a neural circuit by activating memristive synapse with magnetic coupling

F Wu, Y Zhang, X Zhang - Nonlinear Dynamics, 2019 - Springer
The change of firing rates depends on how synaptic features interact with intrinsic properties
of cells in neural system. Considering the chemical synaptic features, we design a …

Memristive autapse involving magnetic coupling and excitatory autapse enhance firing

G Zhang, D Guo, F Wu, J Ma - Neurocomputing, 2020 - Elsevier
Autapse is the synaptic coupling of a neuron's axon to its own dendrite. Considering recent
experimental evidence regarding functional excitatory autapses, we explored how the …