AI Article Synopsis
- The higher-order interactions in complex systems like the brain are represented by simplicial complexes, influencing their dynamics significantly.
- Existing models typically assume that dynamics occur only at the nodes, which limits their accuracy.
- The new higher-order Kuramoto model allows for interactions on nodes, links, and triangles, demonstrating that it can lead to explosive synchronization through adaptive coupling strategies.
Article 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 an explosive synchronization transition by using an adaptive coupling dependent on the solenoidal and the irrotational component of the dynamics.
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| http://dx.doi.org/10.1103/PhysRevLett.124.218301 | DOI Listing |
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