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 …

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

D Papo, JM Buldú - Physics of Life Reviews, 2023 - 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 …

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 …

What adaptive neuronal networks teach us about power grids

R Berner, S Yanchuk, E Schöll - Physical Review E, 2021 - APS
Power grid networks, as well as neuronal networks with synaptic plasticity, describe real-
world systems of tremendous importance for our daily life. The investigation of these …

Solitary states in multiplex neural networks: Onset and vulnerability

L Schülen, DA Janzen, ES Medeiros… - Chaos, Solitons & …, 2021 - Elsevier
We investigate solitary states in a two-layer multiplex network of FitzHugh-Nagumo neurons
in the oscillatory regime. We demonstrate how solitary states can be induced in a multiplex …

Transition from chimera/solitary states to traveling waves

E Rybalova, S Muni, G Strelkova - Chaos: An Interdisciplinary Journal …, 2023 - pubs.aip.org
We study numerically the spatiotemporal dynamics in a ring network of nonlocally coupled
nonlinear oscillators, each represented by a two-dimensional discrete-time model of the …

Unbalanced clustering and solitary states in coupled excitable systems

I Franović, S Eydam, N Semenova… - … Journal of Nonlinear …, 2022 - pubs.aip.org
We discover the mechanisms of emergence and the link between two types of symmetry-
broken states, the unbalanced periodic two-cluster states and solitary states, in coupled …

Generalized splay states in phase oscillator networks

R Berner, S Yanchuk, Y Maistrenko… - … Interdisciplinary Journal of …, 2021 - pubs.aip.org
Networks of coupled phase oscillators play an important role in the analysis of emergent
collective phenomena. In this article, we introduce generalized m-splay states constituting a …

Controlling chimera and solitary states by additive noise in networks of chaotic maps

E Rybalova, E Schöll, G Strelkova - Journal of Difference …, 2023 - Taylor & Francis
We study numerically the spatio-temporal dynamics of ring networks of coupled discrete-
time systems in the presence of additive noise. The robustness of chimera states with …

The multiplex decomposition: An analytic framework for multilayer dynamical networks

R Berner, V Mehrmann, E Schöll, S Yanchuk - SIAM Journal on Applied …, 2021 - SIAM
Multiplex networks are networks composed of multiple layers such that the number of nodes
in all layers is the same and the adjacency matrices between the layers are diagonal. We …