Collective nonlinear dynamics and self-organization in decentralized power grids

D Witthaut, F Hellmann, J Kurths, S Kettemann… - Reviews of modern …, 2022 - APS
The ongoing transition to renewable energy supply comes with a restructuring of power
grids, changing their effective interaction topologies, more and more strongly decentralizing …

Turing patterns on discrete topologies: from networks to higher-order structures

R Muolo, L Giambagli, H Nakao, D Fanelli… - Proceedings …, 2024 - royalsocietypublishing.org
Nature is a blossoming of regular structures, signature of self-organization of the underlying
microscopic interacting agents. Turing theory of pattern formation is one of the most studied …

Patterns of non-normality in networked systems

R Muolo, M Asllani, D Fanelli, PK Maini… - Journal of theoretical …, 2019 - Elsevier
Several mechanisms have been proposed to explain the spontaneous generation of self-
organised patterns, hypothesised to play a role in the formation of many of the magnificent …

Turing instability induced by random network in FitzHugh-Nagumo model

Q Zheng, J Shen - Applied Mathematics and Computation, 2020 - Elsevier
Although there is general agreement that the network plays an essential role in the
biological system, how the connection probability of network affects the natural model …

Theory of Turing patterns on time varying networks

J Petit, B Lauwens, D Fanelli, T Carletti - Physical review letters, 2017 - APS
The process of pattern formation for a multispecies model anchored on a time varying
network is studied. A nonhomogeneous perturbation superposed to an homogeneous stable …

Turing patterns mediated by network topology in homogeneous active systems

S Mimar, MM Juane, J Park, AP Munuzuri, G Ghoshal - Physical review E, 2019 - APS
Mechanisms of pattern formation—of which the Turing instability is an archetype—constitute
an important class of dynamical processes occurring in biological, ecological, and chemical …

Turing instability in the reaction-diffusion network

Q Zheng, J Shen, Y Xu - Physical Review E, 2020 - APS
It is an established fact that a positive wave number plays an essential role in Turing
instability. However, the impact of a negative wave number on Turing instability remains …

Graph signal processing in the presence of topology uncertainties

E Ceci, S Barbarossa - IEEE Transactions on signal processing, 2020 - ieeexplore.ieee.org
The goal of this paper is to expand graph signal processing tools to deal with cases where
the graph topology is not perfectly known. Assuming that the uncertainty affects only a …

Properties of hydrogen-bonded networks in ethanol–water liquid mixtures as a function of temperature: Diffraction experiments and computer simulations

S Pothoczki, I Pethes, L Pusztai… - The Journal of …, 2021 - ACS Publications
New X-ray and neutron diffraction experiments have been performed on ethanol–water
mixtures as a function of decreasing temperature, so that such diffraction data are now …

Pattern formation in reaction-diffusion information propagation model on multiplex simplicial complexes

Y Ye, J Zhou, Y Zhao - Information Sciences, 2025 - Elsevier
Turing patterns for explaining spatial distribution in nature mostly focus on continuous media
and existing networks, but only few attempts exist to study them on systems with high-order …