Topology shapes dynamics of higher-order networks

Nature Physics, Journal Year: 2025, Volume and Issue: unknown

Published: Feb. 19, 2025

Language: Английский

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Synchronization of directed higher-order networks via pinning control

Chaos Solitons & Fractals, Journal Year: 2024, Volume and Issue: 185, P. 115062 - 115062

Published: May 30, 2024

Language: Английский

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Persistent Dirac of paths on digraphs and hypergraphs

Foundations of Data Science, Journal Year: 2024, Volume and Issue: 6(2), P. 124 - 153

Published: Jan. 1, 2024

This work introduces the development of path Dirac and hypergraph operators, along with an exploration their persistence. These operators excel in distinguishing between harmonic non-harmonic spectra, offering valuable insights into subcomplexes within these structures. The paper showcases functionality through a series examples various contexts. An essential facet this research involves examining operators' sensitivity to filtration, emphasizing capacity adapt topological changes. also explores significant application persistent molecular science, specifically analyzing study strict preorders derived from structures, which generate graphs digraphs intricate depth information complexes reflects complexity different preorder classes influenced by characteristic underscores effectiveness tools realm data analysis.

Language: Английский

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Global topological synchronization of weighted simplicial complexes

Physical review. E, Journal Year: 2024, Volume and Issue: 110(1)

Published: July 31, 2024

Higher-order networks are able to capture the many-body interactions present in complex systems and unveil fundamental phenomena revealing rich interplay between topology, geometry, dynamics. Simplicial complexes higher-order that encode topology dynamics of systems. Specifically, simplicial can sustain topological signals, i.e., dynamical variables not only defined on nodes network but also their edges, triangles, so on. Topological signals undergo collective such as synchronization, however, some topologies global synchronization signals. Here we consider weighted complexes. We demonstrate globally synchronize complexes, even if they odd-dimensional, e.g., edge thus overcoming a limitation unweighted case. These results more advantageous for observing these than counterpart. In particular, two complexes: triangulated torus waffle. completely characterize spectral properties that, under suitable conditions weights, Our interpreted geometrically by showing, among other results, cases weights be associated with lengths sides curved simplices.

Language: Английский

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

Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, Journal Year: 2024, Volume and Issue: 480(2302)

Published: Nov. 1, 2024

Nature is a blossoming of regular structures, signature self-organization the underlying microscopic interacting agents. Turing theory pattern formation one most studied mechanisms to address such phenomena and has been applied widespread gallery disciplines. himself used spatial discretization hosting support eventually deal with set ODEs. Such an idea contained seeds on discrete support, which fully acknowledged birth network science in early 2000s. This approach allows us tackle several settings not displaying trivial continuous embedding, as multiplex, temporal networks and, recently, higher-order structures. line research mostly confined within community, despite its inherent potential transcend conventional boundaries PDE-based patterns. Moreover, topology for novel dynamics be generated via universal formalism that can readily extended account The interplay between pave way further developments field.

Language: Английский

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The dependency structure of the financial multiplex network model: New evidence from the cross-correlation of idiosyncratic returns, volatility, and trading volume

PLoS ONE, Journal Year: 2025, Volume and Issue: 20(4), P. e0320799 - e0320799

Published: April 18, 2025

This work describes the design of a novel financial multiplex network composed three layers obtained by applying MST-based cross-correlation network, using data from 465 companies listed on US market. The study employs combined approach complex networks, to examine statistical properties asset interdependence within In addition, it performs an extensive analysis both similarities and differences between this its individual layers, commonly studied stock return network. results highlight importance demonstrating that offer unique information dataset. Empirical reveals dissimilarities monoplex indicating two networks provide distinct insights into structure Furthermore, outperforms singleplex returns because has better determines future Sharpe ratio. These findings add substantially our understanding market system in which multiple types relationship among assets play important role.

Language: Английский

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Higher-order simplicial synchronization in coupled D -dimensional topological Kuramoto model

Physical Review Research, Journal Year: 2025, Volume and Issue: 7(2)

Published: April 30, 2025

In this paper, we propose a D-dimensional topological Kuramoto model and investigate its synchronization on simplicial complexes. This extends the higher-order [] to D-dimensional sphere, where dynamics defined simplices of different dimensions are governed by D-dimensional model. By adopting an adaptive coupling, new phenomena phase transitions observed. Specifically, for nodal odd dimensions, double discontinuous transition is observed, whereas links, single occurs. Rigorous theoretical analysis reveals that originates from loss stability incoherent state saddle-node bifurcation in parameter space. Furthermore, D-dimensional links with D>2, unattainable because inability project onto adjacent dimensional simplices. Our findings provide insights into collective behaviors high-dimensional spaces, such as defense mechanisms or social insect swarms, mediated signal transmission environmental coupling. Published American Physical Society 2025

Language: Английский

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Motifs-based link prediction for multiplexed networks

Chaos An Interdisciplinary Journal of Nonlinear Science, Journal Year: 2025, Volume and Issue: 35(6)

Published: June 1, 2025

Link prediction on multiplexed networks has wide applications in various fields such as social and recommendation systems. Some algorithms have been proposed to solve link networks, which often rely single-layer node characteristics, inter-layer similarity, layer fusion. In this paper, we attempt address issue from the perspective of local structure that can be constructed by two nodes. We propose a motifs-based naïve Bayes model for multiplex considers number motif predictors role nodes composition different network layers. apply method multiple empirical results show our not only outperforms other existing but also high accuracy. addition, functions included can, indeed, help improve performance methods based solely motifs. The effectively leverages heterogeneity edges provides ideas more in-depth study networks.

Language: Английский

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Inverse optimal pinning synchronization control for higher-order networks on multi-directed hypergraphs

Chaos Solitons & Fractals, Journal Year: 2025, Volume and Issue: 199, P. 116593 - 116593

Published: June 2, 2025

Language: Английский

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Enhancing the robustness of interdependent networks by positively correlating a portion of nodes

New Journal of Physics, Journal Year: 2024, Volume and Issue: 26(6), P. 063030 - 063030

Published: June 1, 2024

Abstract Cascading failures caused by interdependencies make modern coupled systems extremely fragile to failures. In existing network robustness enhancing methods, maximizing interlayer degree-degree correlations has been proven be an effective way improve the of interdependent networks under random Here, we propose a portion nodes positively correlated strategy (PNC) correlating nodes, in which that are selected descending order degree, starting at cutoff value. Based on percolation theory, verify effectiveness PNC different networks. And find that, when with highest degree preferentially correlated, i.e. value takes maximum this achieves state-of-the-art optimization effect. particular, for scale-free power-law exponent γ satisfies 2 < γ 3 , theoretically demonstrate mode can maximize changing coupling state near 0 proportion nodes. For = 3, such turn into second-order phase transition collapse point. Finally, discuss relationship between optimized and common links real-world

Language: Английский

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