Intralayer and interlayer synchronization in multiplex network with higher-order interactions

Article Physics, Fluids & Plasmas

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

Md Sayeed Anwar et al.

Summary: The article investigates the stability of intralayer synchronous state in temporal multilayer hypernetworks and validates the analytical results through numerical simulations.

PHYSICAL REVIEW E (2022)

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Article Mathematics, Interdisciplinary Applications

Enhancing synchrony in asymmetrically weighted multiplex networks

Md Sayeed Anwar et al.

Summary: The study focuses on the transition scenarios of two types of synchronization in a multiplex network, intralayer and interlayer synchronization, considering different weighting mechanisms. It is found that intralayer synchronization is enhanced in hubs-attracting networks and de-enhanced in hubs-repelling networks compared to unweighted networks. The sustainability of interlayer synchronization is also examined against progressive removal of interlayer links.

CHAOS SOLITONS & FRACTALS (2021)

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Article Psychology, Biological

Evolutionary dynamics of higher-order interactions in social networks

Unai Alvarez-Rodriguez et al.

Summary: This study examines the evolutionary dynamics of a public goods game in social systems with higher-order interactions, providing a theoretical framework for studying cooperation in networked groups. The research also demonstrates how the presence of hubs and interactions in groups of different sizes influence the evolution of cooperation, and applies this framework to real-world collaboration data in science and technology to extract the synergy factor's dependence on group size. The work offers a way to boost cooperation in social groups through informed actions.

NATURE HUMAN BEHAVIOUR (2021)

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Article Physics, Multidisciplinary

Magnetotransport of dirty-limit van Hove singularity quasiparticles

Yang Xu et al.

Summary: This study investigates the unusual Fermi liquid behavior of calcium-doped strontium ruthenate through magnetotransport, revealing the persistence of Fermi liquid properties across metamagnetic transitions and an unusually strong variation of the Kadowaki-Woods ratio. The authors suggest that this Fermi liquid behavior may stem from disorder-introduced van Hove singularities.

COMMUNICATIONS PHYSICS (2021)

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Article Multidisciplinary Sciences

Stability of synchronization in simplicial complexes

L. V. Gambuzza et al.

Summary: Various systems have been successfully modeled as networks of coupled dynamical systems, with recent studies showing the presence of higher-order many-body interactions in social groups, ecosystems, and the human brain. The proposed analytical approach by Gambuzza et al. provides conditions for stable synchronization in many-body interaction networks.

NATURE COMMUNICATIONS (2021)

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Article Multidisciplinary Sciences

Multilayer representation of collaboration networks with higher-order interactions

E. Vasilyeva et al.

Summary: The study investigates higher-order scientific collaboration networks, where more than two individuals can be connected in a collaboration link. The research tracks the development of collaboration networks by progressively merging collaborations from smaller to larger sizes. Using publications as network nodes yielded qualitatively similar insights, confirming their robustness.

SCIENTIFIC REPORTS (2021)

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Article Physics, Multidisciplinary

Coupled hypergraph maps and chaotic cluster synchronization

T. Boehle et al.

Summary: Coupled map lattices are prototypical dynamical systems on networks/graphs that exhibit complex patterns through diffusion/Laplacian coupling and nonlinear reactions. CHMs, a class of higher-order coupled dynamical systems involving hypergraph Laplacian, show robust regions of chaotic cluster synchronization and various other periodic patterns. The results suggest that coupled graph maps might be a universal model to understand dynamics on classical graphs and hypergraphs.

EPL (2021)

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Article Mathematics

Relay Synchronization in a Weighted Triplex Network

Md Sayeed Anwar et al.

Summary: This study focuses on relay synchronization and intra-layer synchronization in a three-layer multiplex network. The relationship between the relay layer's topological properties and synchronization is explored, showing that a higher clustering coefficient hinders synchronization. By introducing degree-based weighting mechanisms, it is found that hubs-repelling relay layers can significantly improve relay synchronization compared to other cases.

MATHEMATICS (2021)

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Article Physics, Multidisciplinary

Higher-order simplicial synchronization of coupled topological signals

Reza Ghorbanchian et al.

Summary: In this study, the authors investigate coupled topological signals, showing that this coupling leads to new topologically induced explosive transitions. By utilizing algebraic topology, they demonstrate how coupling between signals defined on nodes and links results in explosive topological synchronization.

COMMUNICATIONS PHYSICS (2021)

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Article Physics, Fluids & Plasmas

Consensus dynamics on temporal hypergraphs

Leonie Neuhaeuser et al.

Summary: The study indicates that in network systems with time-dependent, multiway interactions, the convergence speed of consensus dynamics is slower than systems with only pairwise interactions, and slower than consensus dynamics on corresponding static networks. Additionally, the final consensus value in a temporal system may differ significantly from the consensus value on an aggregated, static hypergraph, with early movers having a greater influence.

PHYSICAL REVIEW E (2021)

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Article Physics, Multidisciplinary

Higher-order interactions can better optimize network synchronization

Per Sebastian Skardal et al.

Summary: This study investigates the optimization of collective behavior in networks with higher-order interactions encoded in clique complexes, showing that as higher-order coupling interactions are equitably strengthened, the optimal collective behavior improves due to the broadening of a composite Laplacian's eigenvalue spectrum. It is also found that a nontrivial balance between the strengths of pairwise and higher-order interactions leads to the strongest collective behavior supported by a network, offering insight into how systems balance interactions of different types to optimize or broaden their dynamical range of behavior.

PHYSICAL REVIEW RESEARCH (2021)

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Article Physics, Fluids & Plasmas

Antiphase synchronization in multiplex networks with attractive and repulsive interactions

Sayantan Nag Chowdhury et al.

Summary: This article explores the synchronization properties of dynamical systems connected through multiplex architectures, showing the coexistence of intralayer synchronization and antiphase dynamics between coupled systems of different layers. The transition from interlayer antisynchronization to antiphase synchrony in bipartite multiplex architectures is demonstrated, along with the necessary conditions and local stability analysis of the interlayer antisynchronization state.

PHYSICAL REVIEW E (2021)

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Article Mathematics, Applied

The effect of heterogeneity on hypergraph contagion models

Nicholas W. Landry et al.

CHAOS (2020)

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Review Physics, Multidisciplinary

Networks beyond pairwise interactions: Structure and dynamics

Federico Battiston et al.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2020)

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Article Multidisciplinary Sciences

Symmetries and cluster synchronization in multilayer networks

Fabio Della Rossa et al.

NATURE COMMUNICATIONS (2020)

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Article Mathematics, Interdisciplinary Applications

Dynamical systems on hypergraphs

Timoteo Carletti et al.

JOURNAL OF PHYSICS-COMPLEXITY (2020)

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Article Physics, Multidisciplinary

Interlayer adaptation-induced explosive synchronization in multiplex networks

Anil Kumar et al.

PHYSICAL REVIEW RESEARCH (2020)

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Article Physics, Multidisciplinary

Multiorder Laplacian for synchronization in higher-order networks

Maxime Lucas et al.

PHYSICAL REVIEW RESEARCH (2020)

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Article Physics, Fluids & Plasmas

Coupled dynamics on hypergraphs: Master stability of steady states and synchronization

Raffaella Mulas et al.

PHYSICAL REVIEW E (2020)

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Article Physics, Fluids & Plasmas

Random walks on hypergraphs

Timoteo Carletti et al.

PHYSICAL REVIEW E (2020)

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Review Biology

Chimera states in neuronal networks: A review

Soumen Majhi et al.

PHYSICS OF LIFE REVIEWS (2019)

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Article Mathematics

Hypergraph Laplace operators for chemical reaction networks

Juergen Jost et al.

ADVANCES IN MATHEMATICS (2019)

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Article Physics, Multidisciplinary

Abrupt Desynchronization and Extensive Multistability in Globally Coupled Oscillator Simplexes

Per Sebastian Skardal et al.

PHYSICAL REVIEW LETTERS (2019)

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Article Multidisciplinary Sciences

Simplicial models of social contagion

Iacopo Iacopini et al.

NATURE COMMUNICATIONS (2019)

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Review Mathematics, Interdisciplinary Applications

The simplex geometry of graphs

Karel Devriendt et al.

JOURNAL OF COMPLEX NETWORKS (2019)

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Article Mathematical & Computational Biology

Cliques and cavities in the human connectome

Ann E. Sizemore et al.

JOURNAL OF COMPUTATIONAL NEUROSCIENCE (2018)

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Article Biology

Centralities in simplicial complexes. Applications to protein interaction networks

Ernesto Estrada et al.

JOURNAL OF THEORETICAL BIOLOGY (2018)

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Article Multidisciplinary Sciences

Relay synchronization in multiplex networks

I. Leyva et al.

SCIENTIFIC REPORTS (2018)

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Article Physics, Multidisciplinary

Simplicial Activity Driven Model

Giovanni Petri et al.

PHYSICAL REVIEW LETTERS (2018)

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Article Psychology, Biological

Knowledge gaps in the early growth of semantic feature networks

Ann E. Sizemore et al.

NATURE HUMAN BEHAVIOUR (2018)

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Article Mathematics, Interdisciplinary Applications

Absence makes the heart grow fonder: social compensation when failure to interact risks weakening a relationship

Kunal Bhattacharya et al.

EPJ DATA SCIENCE (2017)

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Article Ecology

The multilayer nature of ecological networks

Shai Pilosof et al.

NATURE ECOLOGY & EVOLUTION (2017)

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Article Mathematics, Applied

Inter-layer synchronization in multiplex networks of identical layers

R. Sevilla-Escoboza et al.

CHAOS (2016)

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Article Physics, Multidisciplinary

Cluster synchronization in multiplex networks

Sarika Jalan et al.

EPL (2016)

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Article Multidisciplinary Sciences

Chimera states in uncoupled neurons induced by a multilayer structure

Soumen Majhi et al.

SCIENTIFIC REPORTS (2016)

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Article Physics, Fluids & Plasmas

Excitation and suppression of chimera states by multiplexing

Vladimir A. Maksimenko et al.

PHYSICAL REVIEW E (2016)

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Article Physics, Fluids & Plasmas

Generalized network structures: The configuration model and the canonical ensemble of simplicial complexes

Owen T. Courtney et al.

PHYSICAL REVIEW E (2016)

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Article Physics, Multidisciplinary

Intra-layer synchronization in multiplex networks

L. V. Gambuzza et al.

EPL (2015)

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Article Physics, Multidisciplinary

Explosive Synchronization in Adaptive and Multilayer Networks

Xiyun Zhang et al.

PHYSICAL REVIEW LETTERS (2015)

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Article Engineering, Multidisciplinary

Synchronization of an evolving complex hyper-network

Zhaoyan Wu et al.

APPLIED MATHEMATICAL MODELLING (2014)

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Article Mathematics, Interdisciplinary Applications

Chaotic synchronization on complex hypergraphs

A. Krawiecki

CHAOS SOLITONS & FRACTALS (2014)

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Article Multidisciplinary Sciences

Homological scaffolds of brain functional networks

G. Petri et al.

JOURNAL OF THE ROYAL SOCIETY INTERFACE (2014)

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Review Physics, Multidisciplinary

The structure and dynamics of multilayer networks

S. Boccaletti et al.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2014)

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Letter Psychology, Multidisciplinary

Hallucinogens - don't choose ignorance

Laura Oxley

PSYCHOLOGIST (2014)

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Article Mathematics, Interdisciplinary Applications

Multilayer networks

Mikko Kivela et al.

JOURNAL OF COMPLEX NETWORKS (2014)

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Article Physics, Multidisciplinary

Modeling the multi-layer nature of the European Air Transport Network: Resilience and passengers re-scheduling under random failures

Alessio Cardillo et al.

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS (2013)

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Article Multidisciplinary Sciences

Emergence of network features from multiplexity

Alessio Cardillo et al.

SCIENTIFIC REPORTS (2013)

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Article Computer Science, Interdisciplinary Applications

Persistent Brain Network Homology From the Perspective of Dendrogram

Hyekyoung Lee et al.

IEEE TRANSACTIONS ON MEDICAL IMAGING (2012)

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Article Multidisciplinary Sciences

Suppressing cascades of load in interdependent networks

Charles D. Brummitt et al.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2012)

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Article Multidisciplinary Sciences

Multirelational organization of large-scale social networks in an online world

Michael Szell et al.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2010)

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Article Physics, Fluids & Plasmas

Random hypergraphs and their applications

Gourab Ghoshal et al.

PHYSICAL REVIEW E (2009)

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Review Physics, Multidisciplinary

Synchronization in complex networks

Alex Arenas et al.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2008)

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Review Physics, Multidisciplinary

Complex networks: Structure and dynamics

S. Boccaletti et al.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2006)

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Review Mathematics, Applied

The structure and function of complex networks

MEJ Newman

SIAM REVIEW (2003)

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Review Physics, Multidisciplinary

The synchronization of chaotic systems

S Boccaletti et al.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2002)

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Intralayer and interlayer synchronization in multiplex network with higher-order interactions

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