7 papers
Higher-order interactions for controlling time-delayed Kuramoto model
Narumi Fujii, Martin Moriamé, Maxime Lucas +2
We propose a framework for controlling the collective dynamics of the time-delayed Kuramoto model based on a delay-free, higher-order approximation of the delayed interactions. By…
On the efficiency of pairwise Hamiltonian control to desynchronize the higher-order Kuramoto model
Martin Moriamé, Riccardo Muolo, Timoteo Carletti +1
Synchronization of coupled oscillators is observed in many natural and engineered systems and emerges due to the interactions within the system. It can be both beneficial, e.g., in…
Symmetry-based selection rules for higher-order interactions in coupled oscillators
Iván Léon, Riccardo Muolo, Yuanzhao Zhang +1
Pairwise interactions among general nonlinear oscillators can be reduced, via phase reduction, to a Kuramoto-type phase coupling . For higher-order interactions…
Tetrahedral Core in a Sea of Competing Magnetic Phases in Graphene
Maxime Lucas, Arnaud Ralko, Andreas Honecker +1
We demonstrate the emergence of a robust tetrahedral magnetic ground state in monolayer graphene doped to the van Hove singularity (vHS). This noncoplanar, gapped spin configuratio…
Collective dynamics on higher-order networks
Federico Battiston, Christian Bick, Maxime Lucas +3
Higher-order interactions that nonlinearly couple more than two nodes are important in many networked systems, and their effects on collective dynamics are increasingly being studi…
Reducibility of higher-order networks from dynamics
Maxime Lucas, Luca Gallo, Arsham Ghavasieh +2
Empirical complex systems can be characterized not only by pairwise interactions, but also by higher-order (group) interactions influencing collective phenomena, from metabolic rea…