27 citations · 53 across the 4 of their papers we have counts for
3 papers · 1 filter
Analytical prediction of specific spatiotemporal patterns in nonlinear oscillator networks with distance-dependent time delays
Roberto C. Budzinski, Tung T. Nguyen, Gabriel B. Benigno +4
We introduce an analytical approach that allows predictions and mechanistic insights into the dynamics of nonlinear oscillator networks with heterogeneous time delays. We demonstra…
Equilibria in Kuramoto oscillator networks: An algebraic approach
Tung T. Nguyen, Roberto C. Budzinski, Jacqueline Doan +3
Kuramoto networks constitute a paradigmatic model for the investigation of collective behavior in networked systems. Despite many advances in recent years, many open questions rema…
Geometry unites synchrony, chimeras, and waves in nonlinear oscillator networks
Roberto C. Budzinski, Tung T. Nguyen, Jacqueline Doan +3
One of the simplest mathematical models in the study of nonlinear systems is the Kuramoto model, which describes synchronization in systems from swarms of insects to superconductor…