314 citations · 2k across the 57 of their papers we have counts for
5 papers · 1 filter
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…