1.6k citations · 2.2k across the 17 of their papers we have counts for
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A unified framework for Simplicial Kuramoto models
Marco Nurisso, Alexis Arnaudon, Maxime Lucas +4
Simplicial Kuramoto models have emerged as a diverse and intriguing class of models describing oscillators on simplices rather than nodes. In this paper, we present a unified frame…
Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes
Yuanzhao Zhang, Maxime Lucas, Federico Battiston
Higher-order networks have emerged as a powerful framework to model complex systems and their collective behavior. Going beyond pairwise interactions, they encode structured relati…
Multiorder Laplacian for synchronization in higher-order networks
Maxime Lucas, Giulia Cencetti, Federico Battiston
Traditionally, interaction systems have been described as networks, where links encode information on the pairwise influences among the nodes. Yet, in many systems, interactions ta…
Limitations of the asymptotic approach to dynamics
Julian Newman, Maxime Lucas, Aneta Stefanovska
Standard dynamical systems theory is centred around the coordinate-invariant asymptotic-time properties of autonomous systems. We identify three limitations of this approach. First…
Nonautonomous driving induces stability in network of identical oscillators
Maxime Lucas, Duccio Fanelli, Aneta Stefanovska
Nonautonomous driving of an oscillator has been shown to enlarge the Arnold tongue in parameter space, but little is known about the analogous effect for a network of oscillators.…
Stabilisation of dynamics of oscillatory systems by non-autonomous perturbation
Maxime Lucas, Julian Newman, Aneta Stefanovska
Synchronisation and stability under periodic oscillatory driving are well-understood, but little is known about the effects of aperiodic driving, despite its abundance in nature. H…