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20242026
most citedTuring patterns on discrete topologies: from networks to higher-order structures

30 citations · 59 across the 16 of their papers we have counts for

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11 papers · 1 filter

cond-mat.stat-mech2025

Collective dynamics of higher-order Vicsek model emerging from local conformity interactions

Iván León, Riccardo Muolo, Hiroya Nakao +1

The Vicsek model is the paradigmatic framework for collective motion in systems of self-propelled particles. In its continuous-time formulation and most of its extensions, alignmen…

nlin.AO2025★ 1 cited

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,…

cs.SD2025★ 1 cited

Time delay embeddings to characterize the timbre of musical instruments using Topological Data Analysis: a study on synthetic and real data

Gakusei Sato, Hiroya Nakao, Riccardo Muolo

Timbre allows us to distinguish between sounds even when they share the same pitch and loudness, playing an important role in music, instrument recognition, and speech. Traditional…

nlin.PS2025

Synchronization of nonlinearly coupled Stuart-Landau oscillators on networks

Wilfried Segnou, Riccardo Muolo, Marie Dorchain +2

The dynamics of coupled Stuart-Landau oscillators play a central role in the study of synchronization phenomena. Previous works have focused on linearly coupled oscillators in diff…

nlin.AO2025★ 2 cited

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…

nlin.AO2025

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…