Journal
PHYSICAL REVIEW LETTERS
Volume 124, Issue 21, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.124.218301
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Funding
- SUPERSTRIPES Onlus
- QMUL Research-IT
- Spanish Ministry of Science and Technology
- Agencia Estatal de Investigacion [FIS2017-84256-P]
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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 an explosive synchronization transition by using an adaptive coupling dependent on the solenoidal and the irrotational component of the dynamics.
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