314 citations · 2k across the 57 of their papers we have counts for
58 papers
Dynamics tuning with reservoir computer control
Krithikesh Ravishankar, Juan G. Restrepo, Per Sebastian Skardal
We present an equation-free method for maintaining a dynamical system operating in a desired regime, even as system parameters are disturbed in such a way that qualitatively differ…
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…
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…
Identifying bimodality in data using a proximity-based null model with an application to classifying cell cycle phases using oxidative stress
Michelle Kovarik, Tyler Allcroft, Per Sebastian Skardal
Detecting communities in large complex networks has found a wide range of applications in physical, biological, and social sciences by identifying mesoscopic groups based on the li…
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…
Detecting disturbances in network-coupled dynamical systems with machine learning
Per Sebastian Skardal, Juan G. Restrepo
Identifying disturbances in network-coupled dynamical systems without knowledge of the disturbances or underlying dynamics is a problem with a wide range of applications. For examp…
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…
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…
Synchronization of phase oscillators on complex hypergraphs
Sabina Adhikari, Juan G. Restrepo, Per Sebastian Skardal
We study the effect of structured higher-order interactions on the collective behavior of coupled phase oscillators. By combining a hypergraph generative model with dimensionality…
Multistability in coupled oscillator systems with higher-order interactions and community structure
Per Sebastian Skardal, Sabina Adhikari, Juan G. Restrepo
We study synchronization dynamics in populations of coupled phase oscillators with higher-order interactions and community structure. We find that the combination of these two prop…
Generic criterion for explosive synchronization in heterogeneous phase oscillator populations
Can Xu, Xuan Wang, Per Sebastian Skardal
Ordered and disordered behavior in large ensembles of coupled oscillators map to different functional states in a wide range of applications, e.g., active and resting states in the…
Self-organized explosive synchronization in complex networks: Emergence of synchronization bombs
Lluís Arola-Fernández, Sergio Faci-Lázaro, Per Sebastian Skardal +3
We introduce the concept of synchronization bombs as large networks of coupled heterogeneous oscillators that operate in a bistable regime and abruptly transit from incoherence to…
Tiered synchronization in coupled oscillator populations with interaction delays and higher-order interactions
Per Sebastian Skardal, Can Xu
We study synchronization in large populations of coupled phase oscillators with time-delays, higher order interactions. With each of these effects individually giving rise to bista…
Balanced Hodge Laplacians Optimize Consensus Dynamics over Simplicial Complexes
Cameron Ziegler, Per Sebastian Skardal, Haimonti Dutta +1
Despite the vast literature on network dynamics, we still lack basic insights into dynamics on higher-order structures (e.g., edges, triangles, and more generally, -dimensional…
Grass-roots optimization of coupled oscillator networks
Pranick R. Chamlagai, Dane Taylor, Per Sebastian Skardal
Despite the prevalence of biological and physical systems for which synchronization is critical, existing theory for optimizing synchrony depends on global information and does not…
Higher-order interactions improve optimal collective dynamics on networks
Per Sebastian Skardal, Lluís Arola-Fernández, Dane Taylor +1
Collective behavior plays a key role in the function of a wide range of physical, biological, and neurological systems where empirical evidence has recently uncovered the prevalenc…
Chaos in Nonlinear Random Walks with Non-Monotonic Transition Probabilities
Digesh Chitrakar, Per Sebastian Skardal
Random walks serve as important tools for studying complex network structures, yet their dynamics in cases where transition probabilities are not static remain under explored and p…
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…
Spectrum of extensive multiclusters in the Kuramoto model with higher-order interactions
Can Xu, Per Sebastian Skardal
Globally coupled ensembles of phase oscillators serve as useful tools for modeling synchronization and collective behavior in a variety of applications. As interest in the effects…
Universal scaling and phase transitions of coupled phase oscillator populations
Can Xu, Xuebin Wang, Per Sebastian Skardal
The Kuramoto model, which serves as a paradigm for investigating synchronization phenomenon of oscillatory system, is known to exhibit second-order, i.e., continuous, phase transit…
Memory selection and information switching in oscillator networks with higher-order interactions
Per Sebastian Skardal, Alex Arenas
We study the dynamics of coupled oscillator networks with higher-order interactions and their ability to store information. In particular, the fixed points of these oscillator syst…