Articles producció científica> Enginyeria Informàtica i Matemàtiques

Higher-order interactions can better optimize network synchronization

  • Identification data

    Identifier: imarina:9242575
    Authors:
    Skardal, Per SebastianArola-Fernandez, LluisTaylor, DaneArenas, Alex
    Abstract:
    Collective behavior plays a key role in the function of a wide range of physical, biological, and neurological systems where empirical evidence has recently uncovered the prevalence of higher-order interactions, i.e., structures that represent interactions between more than just two individual units, in complex network structures. Here, we study the optimization of collective behavior in networks with higher-order interactions encoded in clique complexes. Our approach involves adapting the synchrony alignment function framework to a composite Laplacian matrix that encodes multiorder interactions including, e.g., both dyadic and triadic couplings. We show that as higher-order coupling interactions are equitably strengthened, so that overall coupling is conserved, the optimal collective behavior improves. We find that this phenomenon stems from the broadening of a composite Laplacian's eigenvalue spectrum, which improves the optimal collective behavior and widens the range of possible behaviors. Moreover, we find in constrained optimization scenarios that a nontrivial, ideal balance between the relative strengths of pairwise and higher-order interactions leads to the strongest collective behavior supported by a network. This work provides insight into how systems balance interactions of different types to optimize or broaden their dynamical range of behavior, especially for self-regulating systems like the brain.
  • Others:

    Author, as appears in the article.: Skardal, Per Sebastian; Arola-Fernandez, Lluis; Taylor, Dane; Arenas, Alex
    Department: Enginyeria Informàtica i Matemàtiques
    URV's Author/s: Arenas Moreno, Alejandro
    Keywords: Oscillators
    Abstract: Collective behavior plays a key role in the function of a wide range of physical, biological, and neurological systems where empirical evidence has recently uncovered the prevalence of higher-order interactions, i.e., structures that represent interactions between more than just two individual units, in complex network structures. Here, we study the optimization of collective behavior in networks with higher-order interactions encoded in clique complexes. Our approach involves adapting the synchrony alignment function framework to a composite Laplacian matrix that encodes multiorder interactions including, e.g., both dyadic and triadic couplings. We show that as higher-order coupling interactions are equitably strengthened, so that overall coupling is conserved, the optimal collective behavior improves. We find that this phenomenon stems from the broadening of a composite Laplacian's eigenvalue spectrum, which improves the optimal collective behavior and widens the range of possible behaviors. Moreover, we find in constrained optimization scenarios that a nontrivial, ideal balance between the relative strengths of pairwise and higher-order interactions leads to the strongest collective behavior supported by a network. This work provides insight into how systems balance interactions of different types to optimize or broaden their dynamical range of behavior, especially for self-regulating systems like the brain.
    Thematic Areas: Physics, multidisciplinary Physics and astronomy (miscellaneous) Physics and astronomy (all)
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Author's mail: alexandre.arenas@urv.cat
    Author identifier: 0000-0003-0937-0334
    Record's date: 2024-09-28
    Papper version: info:eu-repo/semantics/publishedVersion
    Link to the original source: https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.3.043193
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Papper original source: Physical Review Research. 3 (4): 043193-
    APA: Skardal, Per Sebastian; Arola-Fernandez, Lluis; Taylor, Dane; Arenas, Alex (2021). Higher-order interactions can better optimize network synchronization. Physical Review Research, 3(4), 043193-. DOI: 10.1103/physrevresearch.3.043193
    Article's DOI: 10.1103/physrevresearch.3.043193
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2021
    Publication Type: Journal Publications
  • Keywords:

    Physics and Astronomy (Miscellaneous),Physics, Multidisciplinary
    Oscillators
    Physics, multidisciplinary
    Physics and astronomy (miscellaneous)
    Physics and astronomy (all)
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