308 citations
- Duke UniversityUS58 papers
- University of North Carolina at Chapel HillUS13 papers
- North Carolina State UniversityUS11 papers
- University of California, BerkeleyUS7 papers
- Statistical Research (United States)US5 papers
- Texas A&M UniversityUS5 papers
- University of CincinnatiUS5 papers
- Clarkson UniversityUS4 papers
- Department of Mathematical SciencesRU4 papers
- Harvard UniversityUS4 papers
- University of WashingtonUS4 papers
- Cornell UniversityUS3 papers
4 papers · 1 filter
Synchronization of heterogeneous oscillators under network modifications: Perturbation and optimization of the synchrony alignment function
Dane Taylor, Per Sebastian Skardal, Jie Sun
Synchronization is central to many complex systems in engineering physics (e.g., the power-grid, Josephson junction circuits, and electro-chemical oscillators) and biology (e.g., n…
Erosion of synchronization in networks of coupled oscillators
Per Sebastian Skardal, Dane Taylor, Jie Sun +1
We report erosion of synchronization in networks of coupled phase oscillators, a phenomenon where perfect phase synchronization is unattainable in steady-state, even in the limit o…
Topological data analysis of contagion maps for examining spreading processes on networks
Dane Taylor, Florian Klimm, Heather A. Harrington +4
Social and biological contagions are influenced by the spatial embeddedness of networks. Historically, many epidemics spread as a wave across part of the Earth's surface; however,…
Optimal synchronization of complex networks
Per Sebastian Skardal, Dane Taylor, Jie Sun
We study optimal synchronization in networks of heterogeneous phase oscillators. Our main result is the derivation of a synchrony alignment function that encodes the interplay betw…