113 citations · 489 across the 35 of their papers we have counts for
37 papers
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…
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,…
Classification of Chimera States via Fourier Analysis and Unsupervised Learning
Rommel Tchinda Djeudjo, Riccardo Muolo, Thierry Njougouo +1
Chimera states are among the most intriguing phenomena in nonlinear dynamics, characterized by the coexistence of coherent and incoherent behavior in systems of coupled identical o…
A robust method to identify chimera states
S. Nirmala Jenifer, Riccardo Muolo, Paulsamy Muruganandam +1
Chimera states are one of the most intriguing phenomena in nonlinear dynamics, characterized by the coexistence of coherent and incoherent behavior in systems of coupled identical…
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…
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…
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,…
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…
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…
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…
Equivalence of additive and parametric pinning control protocols for systems of weakly coupled oscillators
Riccardo Muolo, Yuzuru Kato
Controlling the behavior of nonlinear systems on networks is a paramount task in control theory, in particular the control of synchronization, given its vast applicability. In this…
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…
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…
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…
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…
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…
What can PhD students and postdocs do to counter inequalities?
Lorena Ballesteros Ferraz, Carolina Charalambous, Sébastien Mouchet +1
In this opinion article, we gathered some reflections and practical tips on what Early Stage Researchers do against inequalities in academia. This is the longer version of an opini…
Global Topological Dirac Synchronization
Timoteo Carletti, Lorenzo Giambagli, Riccardo Muolo +1
Synchronization is a fundamental dynamical state of interacting oscillators, observed in natural biological rhythms and in the brain. Global synchronization which occurs when non-l…
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…
Impact of directionality on the emergence of Turing patterns on m-directed higher-order structures
Marie Dorchain, Wilfried Segnou, Riccardo Muolo +1
We hereby develop the theory of Turing instability for reaction-diffusion systems defined on m-directed hypergraphs, the latter being generalization of hypergraphs where nodes form…
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…
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…
Global topological synchronization of weighted simplicial complexes
Runyue Wang, Riccardo Muolo, Timoteo Carletti +1
Higher-order networks are able to capture the many-body interactions present in complex systems and to unveil new fundamental phenomena revealing the rich interplay between topolog…
The three way Dirac operator and dynamical Turing and Dirac induced patterns on nodes and links
Riccardo Muolo, Timoteo Carletti, Ginestra Bianconi
Topological signals are dynamical variables not only defined on nodes but also on links of a network that are gaining significant attention in non-linear dynamics and topology and…