304 citations · 380 across the 9 of their papers we have counts for
20 papers
Hodge Decomposition Guides the Optimization of Synchronization over Simplicial Complexes
Cameron Purple, Per Sebastian Skardal, Dane Taylor
Despite growing interest in synchronization dynamics over "higher-order" network models, optimization theory for such systems is limited. Here, we study a family of Kuramoto models…
Collective dynamics on higher-order networks
Federico Battiston, Christian Bick, Maxime Lucas +3
Higher-order interactions that nonlinearly couple more than two nodes are important in many networked systems, and their effects on collective dynamics are increasingly being studi…
Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags
Sabina Adhikari, Juan G. Restrepo, Per Sebastian Skardal
We study the effects of phase-frustrated, higher-order interactions in a system of coupled phase oscillators with two communities. We use dimensionality reduction techniques to der…
Pattern formation and oscillations in nonlinear random walks on networks
Per Sebastian Skardal
Random walks represent an important tool for probing the structural and dynamical properties of networks and modeling transport and diffusion processes on networks. However, when i…
Dual control of coupled oscillator networks
Per Sebastian Skardal, Alex Arenas
Robust coordination and organization in large ensembles of nonlinear oscillatory units play a vital role in a wide range of natural and engineered system. The control of self-organ…
Geometric unfolding of synchronization dynamics on networks
Lluis Arola-Fernandez, Per Sebastian Skardal, Alex Arenas
We study the synchronized state in a population of network-coupled, heterogeneous oscillators. In particular, we show that the steady-state solution of the linearized dynamics may…