The physics of higher-order interactions in complex systems

Nature Physics, Journal Year: 2021, Volume and Issue: 17(10), P. 1093 - 1098

Published: Oct. 1, 2021

Language: Английский

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Social physics

Physics Reports, Journal Year: 2022, Volume and Issue: 948, P. 1 - 148

Published: Jan. 11, 2022

Language: Английский

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Evolutionary dynamics of higher-order interactions in social networks

Nature Human Behaviour, Journal Year: 2021, Volume and Issue: 5(5), P. 586 - 595

Published: Jan. 4, 2021

Language: Английский

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Dynamics on higher-order networks: a review

Journal of The Royal Society Interface, Journal Year: 2022, Volume and Issue: 19(188)

Published: March 1, 2022

Network science has evolved into an indispensable platform for studying complex systems. But recent research identified limits of classical networks, where links connect pairs nodes, to comprehensively describe group interactions. Higher-order a link can more than two have therefore emerged as new frontier in network science. Since interactions are common social, biological and technological systems, higher-order networks recently led important discoveries across many fields research. Here, we review these works, focusing particular on the novel aspects dynamics that emerges networks. We cover variety dynamical processes thus far been studied, including different synchronization phenomena, contagion processes, evolution cooperation consensus formation. also outline open challenges promising directions future

Language: Английский

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Higher order interactions in complex networks of phase oscillators promote abrupt synchronization switching

Communications Physics, Journal Year: 2020, Volume and Issue: 3(1)

Published: Nov. 30, 2020

Synchronization processes play critical roles in the functionality of a wide range both natural and man-made systems. Recent work physics neuroscience highlights importance higher-order interactions between dynamical units, i.e., three- four-way addition to pairwise interactions, their role shaping collective behavior. Here we show that coupled phase oscillators, encoded microscopically simplicial complex, give rise added nonlinearity macroscopic system dynamics induces abrupt synchronization transitions via hysteresis bistability synchronized incoherent states. Moreover, these can stabilize strongly states even when coupling is repulsive. These findings reveal self-organized phenomenon may be responsible for rapid switching many biological other systems exhibit without need particular correlation mechanisms oscillators topological structure.

Language: Английский

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Stability of synchronization in simplicial complexes

Nature Communications, Journal Year: 2021, Volume and Issue: 12(1)

Published: Feb. 23, 2021

Abstract Various systems in physics, biology, social sciences and engineering have been successfully modeled as networks of coupled dynamical systems, where the links describe pairwise interactions. This is, however, too strong a limitation, recent studies revealed that higher-order many-body interactions are present groups, ecosystems human brain, they actually affect emergent dynamics all these systems. Here, we introduce general framework to study accounting for precise microscopic structure their at any possible order. We show complete synchronization exists an invariant solution, give necessary condition it be observed stable state. Moreover, some relevant instances, such takes form Master Stability Function. generalizes existing results valid case complex with most architecture.

Language: Английский

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The Why, How, and When of Representations for Complex Systems

SIAM Review, Journal Year: 2021, Volume and Issue: 63(3), P. 435 - 485

Published: Jan. 1, 2021

Complex systems, composed at the most basic level of units and their interactions, describe phenomena in a wide variety domains, from neuroscience to computer science economics. The applications has resulted two key challenges: generation many domain-specific strategies for complex systems analyses that are seldom revisited, compartmentalization representation analysis ideas within domain due inconsistency language. In this work we propose basic, domain-agnostic language order advance toward more cohesive vocabulary. We use evaluate each step pipeline, beginning with system under study data collected, then moving through different mathematical frameworks encoding observed (i.e., graphs, simplicial complexes, hypergraphs), relevant computational methods framework. At consider types dependencies; these properties how existence an interaction among set may affect possibility another relation. discuss dependencies arise they alter interpretation results or entirety pipeline. close real-world examples using coauthorship email communications illustrate study, therein, research question, choice influence results. hope can serve as opportunity reflection experienced scientists, well introductory resource new researchers.

Language: Английский

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Signal propagation in complex networks

Physics Reports, Journal Year: 2023, Volume and Issue: 1017, P. 1 - 96

Published: April 5, 2023

Language: Английский

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Reputation and reciprocity

Physics of Life Reviews, Journal Year: 2023, Volume and Issue: 46, P. 8 - 45

Published: May 10, 2023

Language: Английский

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Network geometry

Nature Reviews Physics, Journal Year: 2021, Volume and Issue: 3(2), P. 114 - 135

Published: Jan. 29, 2021

Language: Английский

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