2 results match your criteria: "United Kingdom and Alan Turing Institute[Affiliation]"
Explosive Higher-Order Kuramoto Dynamics on Simplicial Complexes.
Phys Rev Lett
May 2020
School of Mathematical Sciences, Queen Mary University of London, E1 4NS London, United Kingdom and Alan Turing Institute, The British Library, London, United Kingdom.
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.
Renormalization group for link percolation on planar hyperbolic manifolds.
Phys Rev E
August 2019
School of Mathematical Sciences, Queen Mary University of London, London, E1 4NS, United Kingdom and Alan Turing Institute, 96 Euston Rd, London, NW1 2DB, United Kingdom.
Network geometry is currently a topic of growing scientific interest, as it opens the possibility to explore and interpret the interplay between structure and dynamics of complex networks using geometrical arguments. However, the field is still in its infancy. In this work we investigate the role of network geometry in determining the nature of the percolation transition in planar hyperbolic manifolds.
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