Corpus ID: 214612275

A multi-order Laplacian framework for the stability of higher-order synchronization

@article{Lucas2020AML,
  title={A multi-order Laplacian framework for the stability of higher-order synchronization},
  author={Maxime Lucas and Giulia Cencetti and Federico Battiston},
  journal={arXiv: Adaptation and Self-Organizing Systems},
  year={2020}
}
  • Maxime Lucas, Giulia Cencetti, Federico Battiston
  • Published 2020
  • Mathematics, Physics
  • arXiv: Adaptation and Self-Organizing Systems
  • The emergence of synchronization in systems of coupled agents is a pivotal phenomenon in physics, biology, computer science, and neuroscience. Traditionally, interaction systems have been described as networks, where links encode information only on the pairwise influences among the nodes. Yet, in many systems, interactions among the units often take places in larger groups. Recent work has shown that the presence of higher-order interactions between oscillators can significantly affect the… CONTINUE READING

    Figures from this paper.

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 45 REFERENCES

    Phys

    • T. Carletti, F. Battiston, G. Cencetti, D. Fanelli
    • Rev. E 101, 022308
    • 2020
    VIEW 2 EXCERPTS

    Chaos 29

    • M. Rosenblum, A. Pikovsky
    • 011105
    • 2019

    Nat

    • I. Iacopini, G. Petri, A. Barrat, V. Latora
    • Commun. 10, 2485
    • 2019
    VIEW 1 EXCERPT

    Phys

    • I. León, D. Pazó
    • Rev. E 100, 012211
    • 2019

    Phys

    • P. S. Skardal, A. Arenas
    • Rev. Lett. 122, 248301
    • 2019
    VIEW 2 EXCERPTS

    and G

    • A. P. Millán, J. J. Torres
    • Bianconi, arXiv preprint arXiv:1912.04405
    • 2019
    VIEW 1 EXCERPT

    Phys

    • G. Petri, A. Barrat
    • Rev. Lett. 121, 228301
    • 2018
    VIEW 1 EXCERPT

    and A

    • M. T. Schaub, A. R. Benson, P. Horn, G. Lippner
    • Jadbabaie, arXiv:1807.05044
    • 2018
    VIEW 2 EXCERPTS

    Phys

    • J.-G. Young, G. Petri, F. Vaccarino, A. Patania
    • Rev. E 96, 032312
    • 2017