Adaptive dynamical networks

R Berner, T Gross, C Kuehn, J Kurths, S Yanchuk - Physics Reports, 2023 - Elsevier
It is a fundamental challenge to understand how the function of a network is related to its
structural organization. Adaptive dynamical networks represent a broad class of systems that …

Synchronization in multiplex networks

X Wu, X Wu, CY Wang, B Mao, J Lu, J Lü, YC Zhang… - Physics Reports, 2024 - Elsevier
Synchronization in a network of connected elements is essential to the proper functioning of
both natural and engineered systems and is thus of increasing interest across disciplines. In …

Perspectives on adaptive dynamical systems

J Sawicki, R Berner, SAM Loos, M Anvari… - … Journal of Nonlinear …, 2023 - pubs.aip.org
Adaptivity is a dynamical feature that is omnipresent in nature, socio-economics, and
technology. For example, adaptive couplings appear in various real-world systems, such as …

Stability analysis of intralayer synchronization in time-varying multilayer networks with generic coupling functions

MS Anwar, S Rakshit, D Ghosh, EM Bollt - Physical Review E, 2022 - APS
The stability analysis of synchronization patterns on generalized network structures is of
immense importance nowadays. In this article, we scrutinize the stability of intralayer …

Target layer state estimation in multilayer complex dynamical networks using functional observability

Y Wu, X Wang, GP Jiang, M Gu - Journal of the Franklin Institute, 2023 - Elsevier
In large-scale complex dynamical networks, it is significant to estimate the states of target
nodes with only a part of measured nodes. Meanwhile, multilayer complex dynamical …

Composed solutions of synchronized patterns in multiplex networks of Kuramoto oscillators

PB Jain, TT Nguyen, J Mináč, LE Muller… - … Journal of Nonlinear …, 2023 - pubs.aip.org
Networks with different levels of interactions, including multilayer and multiplex networks,
can display a rich diversity of dynamical behaviors and can be used to model and study a …

Critical parameters in dynamic network modeling of sepsis

R Berner, J Sawicki, M Thiele, T Löser… - Frontiers in Network …, 2022 - frontiersin.org
In this work, we propose a dynamical systems perspective on the modeling of sepsis and its
organ-damaging consequences. We develop a functional two-layer network model for …

Modeling tumor disease and sepsis by networks of adaptively coupled phase oscillators

J Sawicki, R Berner, T Löser, E Schöll - Frontiers in Network …, 2022 - frontiersin.org
In this study, we provide a dynamical systems perspective to the modelling of pathological
states induced by tumors or infection. A unified disease model is established using the …

Synchronization scenarios in three-layer networks with a hub

J Sawicki, JM Koulen, E Schöll - Chaos: An Interdisciplinary Journal of …, 2021 - pubs.aip.org
We study various relay synchronization scenarios in a three-layer network, where the middle
(relay) layer is a single node, ie, a hub. The two remote layers consist of non-locally coupled …

A node-based SIRS epidemic model on two-layer interconnected networks: Dynamical analysis of interplay between layers

L Tang, R Shen, X Pan - Journal of the Franklin Institute, 2024 - Elsevier
From the micro-level perspective of individuals, this paper proposes a node-based SIRS
epidemic model on two-layer networks, and investigates the stability of the equilibrium in the …