12 citations · 12 across the 2 of their papers we have counts for
7 papers
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…
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…
Mixed higher-order coupling stabilizes new states
Per Sebastian Skardal, Federico Battiston, Maxime Lucas +3
Understanding how higher-order interactions affect collective behavior is a central problem in nonlinear dynamics and complex systems. Most works have focused on a single higher-or…
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…
Deeper but smaller: Higher-order interactions increase linear stability but shrink basins
Yuanzhao Zhang, Per Sebastian Skardal, Federico Battiston +2
A key challenge of nonlinear dynamics and network science is to understand how higher-order interactions influence collective dynamics. Although many studies have approached this q…
Suppressing unknown disturbances to dynamical systems using machine learning
Juan G. Restrepo, Clayton P. Byers, Per Sebastian Skardal
Identifying and suppressing unknown disturbances to dynamical systems is a problem with applications in many different fields. Here we present a model-free method to identify and s…