113 citations · 389 across the 33 of their papers we have counts for
9 papers · 1 filter
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,…
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…
Emergence of higher-order interactions in systems of coupled Kuramoto oscillators with time delay
Narumi Fujii, Keisuke Taga, Riccardo Muolo +2
We show that higher-order interactions naturally emerge from time-delayed pairwise coupling in Kuramoto oscillators. By expanding the delayed pairwise coupling to the second order,…
Optimal interaction functions realizing higher-order Kuramoto dynamics with arbitrary limit-cycle oscillators
Norihisa Namura, Riccardo Muolo, Hiroya Nakao
The Kuramoto model is the simplest case of globally coupled phase oscillators with a purely sinusoidal fundamental-harmonic phase coupling function, whose dynamical properties have…
When higher-order interactions enhance synchronization: the case of the Kuramoto model
Riccardo Muolo, Hiroya Nakao, Marco Coraggio
Synchronization is a fundamental phenomenon in complex systems, observed across a wide range of natural and engineered contexts. The Kuramoto model provides a foundational framewor…
Theory of phase reduction from hypergraphs to simplicial complexes: a general route to higher-order Kuramoto models
Iván León, Riccardo Muolo, Shigefumi Hata +1
Phase reduction is a powerful technique in the study of nonlinear oscillatory systems. Under certain assumptions, it allows us to describe each multidimensional oscillator by a sin…