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    Explosive higher-order Kuramoto dynamics on simplicial complexes 
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    Explosive higher-order Kuramoto dynamics on simplicial complexes

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    Accepted version (2.187Mb)
    Publisher
    American Physical Society
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    Abstract
    The higher-order interactions of complex systems, such as the brain, are captured by their simplicial complex structure and have a significant effect on dynamics. However the existing dynamical models defined on simplicial complexes make the strong assumption that the dynamics resides exclusively on the nodes. Here we formulate the higher-order Kuramoto model which describes the interactions between oscillators placed not only on nodes but also on links, triangles, and so on. We show that higher-order Kuramoto dynamics can lead to explosive synchronization transition by using an adaptive coupling dependent on the solenoidal and the irrotational component of the dynamics.
    Authors
    Millán, AP; Torres, JJ; Bianconi, G
    URI
    https://qmro.qmul.ac.uk/xmlui/handle/123456789/64281
    Collections
    • Mathematics [1287]
    Licence information
    This is a pre-copyedited, author-produced version of an article accepted for publication in Physical Review Letters following peer review. The version of record is available https://journals.aps.org/prl/accepted/8b076Y7bZe11976f650b7a29bc427d4ec4972e83d
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    © 2020 American Physical Society
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