Synchronization induced by directed higher-order interactions

L Gallo, R Muolo, LV Gambuzza, V Latora… - Communications …, 2022 - nature.com
Non-reciprocal interactions play a crucial role in many social and biological complex
systems. While directionality has been thoroughly accounted for in networks with pairwise …

Hypergraphx: a library for higher-order network analysis

QF Lotito, M Contisciani, C De Bacco… - Journal of Complex …, 2023 - academic.oup.com
From social to biological systems, many real-world systems are characterized by higher-
order, non-dyadic interactions. Such systems are conveniently described by hypergraphs …

[HTML][HTML] Pattern formation and bifurcation analysis of delay induced fractional-order epidemic spreading on networks

J Zhou, Y Ye, A Arenas, S Gómez, Y Zhao - Chaos, Solitons & Fractals, 2023 - Elsevier
The spontaneous emergence of ordered structures, known as Turing patterns, in complex
networks is a phenomenon that holds potential applications across diverse scientific fields …

Global synchronization in generalized multilayer higher-order networks

PK Pal, MS Anwar, M Perc, D Ghosh - Physical Review Research, 2024 - APS
Networks incorporating higher-order interactions are increasingly recognized for their ability
to introduce novel dynamics into various processes, including synchronization. Previous …

Diffusion-driven instability of topological signals coupled by the Dirac operator

L Giambagli, L Calmon, R Muolo, T Carletti, G Bianconi - Physical Review E, 2022 - APS
The study of reaction-diffusion systems on networks is of paramount relevance for the
understanding of nonlinear processes in systems where the topology is intrinsically discrete …

[HTML][HTML] The three way Dirac operator and dynamical Turing and Dirac induced patterns on nodes and links

R Muolo, T Carletti, G Bianconi - Chaos, Solitons & Fractals, 2024 - Elsevier
Topological signals are dynamical variables not only defined on nodes but also on links of a
network that are gaining significant attention in non-linear dynamics and topology and have …

Desynchrony induced by higher-order interactions in triplex metapopulations

PK Pal, MS Anwar, D Ghosh - Physical Review E, 2023 - APS
In a predator-prey metapopulation, two traits are adversely related: synchronization and
persistence. A decrease in synchrony apparently leads to an increase in persistence and …

Emergence of geometric turing patterns in complex networks

J van der Kolk, G García-Pérez, NE Kouvaris… - Physical Review X, 2023 - APS
Turing patterns, arising from the interplay between competing species of diffusive particles,
have long been an important concept for describing nonequilibrium self-organization in …

Synchronization in temporal simplicial complexes

MS Anwar, D Ghosh - SIAM Journal on Applied Dynamical Systems, 2023 - SIAM
The stability analysis of synchronization in time-varying higher-order networked structures
(simplicial complexes) is a challenging problem due to the presence of time-varying group …

Spatiotemporal dynamics optimization of a delayed reaction–diffusion mussel–algae model based on PD control strategy

P Zhu, M Xiao, X Huang, F Zhang, Z Wang… - Chaos, Solitons & …, 2023 - Elsevier
The dynamic control over time evolution of ordinary differential systems has developed
rapidly in recent years, but how to control the spatiotemporal evolution dynamics of partial …