activity
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

collaborators

17 papers

math.DS2026

Physical and emergent nonpairwise interactions in oscillator networks: from higher-order phase reduction to coupling design

Riccardo Muolo, Hiroya Nakao, Christian Bick

Phase reduction is a powerful technique to obtain phase models from highly dimensional oscillatory systems. Starting from pairwise interactions, a first order approximation yields…

nlin.AO2026

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…

eess.SY2026

Optimal Control for Steady Circulation of a Diffusion Process via Spectral Decomposition of Fokker-Planck Equation

Norihisa Namura, Hiroya Nakao

We present a formulation of an optimal control problem for a two-dimensional diffusion process governed by a Fokker-Planck equation to achieve a nonequilibrium steady state with a…

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…

physics.flu-dyn2025

Dynamic mode decomposition for detecting oscillatory transient activity via sparsity and smoothness regularization

Yutaro Tanaka, Hiroya Nakao

Dynamic mode decomposition (DMD) is a data-driven modal decomposition technique that extracts coherent spatio-temporal structures from high-dimensional time-series data. By decompo…

nlin.CD2025★ 7 cited

Flutter Suppression Enhancement in Coupled Nonlinear Airfoils with Intermittent Mixed Interactions

Qi Liu, Riccardo Muolo, Hiroya Nakao +1

Flutter suppression facilitates the improvement of structural reliability to ensure the flight safety of an aircraft. In this study, we propose a novel strategy for enlarging ampli…

nlin.PS2025★ 1 cited

Synchronization of Dirac-Bianconi driven oscillators

Riccardo Muolo, Iván León, Yuzuru Kato +1

In dynamical systems on networks, one assigns the dynamics to nodes, which are then coupled via links. This approach does not account for group interactions and dynamics on links a…

nlin.PS2025★ 2 cited

Chimera states on m-directed hypergraphs

Rommel Tchinda Djeudjo, Timoteo Carletti, Hiroya Nakao +1

Chimera states are synchronization patterns in which coherent and incoherent regions coexist in systems of identical oscillators. This elusive phenomenon has attracted significant…

nlin.AO2025★ 8 cited

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…

nlin.PS2024★ 7 cited

Pinning control of chimera states in systems with higher-order interactions

Riccardo Muolo, Lucia Valentina Gambuzza, Hiroya Nakao +1

Understanding and controlling the mechanisms behind synchronization phenomena is of paramount importance in nonlinear science. In particular, the emergence of chimera states, patte…

nlin.PS2024★ 30 cited

Turing patterns on discrete topologies: from networks to higher-order structures

Riccardo Muolo, Lorenzo Giambagli, Hiroya Nakao +2

Nature is a blossoming of regular structures, signature of self-organization of the underlying microscopic interacting agents. Turing theory of pattern formation is one of the most…

math.OC2024

Stabilization of hyperbolic reaction-diffusion systems on directed networks through the generalized Routh-Hurwitz criterion for complex polynomials

Riccardo Muolo, Anthony Hastir, Hiroya Nakao

The study of dynamical systems on complex networks is of paramount importance in engineering, given that many natural and artificial systems find a natural embedding on discrete to…