222 citations · 1.3k across the 45 of their papers we have counts for
15 papers · 1 filter
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…
Emergent Topology of Optimal Networks for Synchrony
Guram Mikaberidze, Dane Taylor
Designing high-performing networks requires optimizing for functionality while respecting physical, spatial, or budget constraints. Yet, mathematical and computational tools to des…
Simplicial cascades are orchestrated by the multidimensional geometry of neuronal complexes
Bengier Ulgen Kilic, Dane Taylor
Cascades arise in many contexts (e.g., neuronal avalanches, social contagions, and system failures). Despite evidence that propagations often involve higher-order dependencies, cas…
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…
Synchronization of Network-Coupled Oscillators with Uncertain Dynamics
Per Sebastian Skardal, Dane Taylor, Jie Sun
Synchronization of network-coupled dynamical units is important to a variety of natural and engineered processes including circadian rhythms, cardiac function, neural processing, a…