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20212024
most citedGeometry unites synchrony, chimeras, and waves in nonlinear oscillator networks

27 citations · 60 across the 16 of their papers we have counts for

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math.DS2023★ 1 cited

Composed solutions of synchronized patterns in multiplex networks of Kuramoto oscillators

Priya B. Jain, Tung T. Nguyen, Ján Mináč +2

Networks with different levels of interactions, including multilayer and multiplex networks, can display a rich diversity of dynamical behaviors and can be used to model and study…

math.DS2022★ 4 cited

Broadcasting solutions on networked systems of phase oscillators

Tung T. Nguyen, Roberto C. Budzinski, Federico W. Pasini +3

Networked systems have been used to model and investigate the dynamical behavior of a variety of systems. For these systems, different levels of complexity can be considered in the…

math.DS2022★ 25 cited

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…

math.DS2021★ 1 cited

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…

math.DS2021★ 27 cited

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…