27 citations · 65 across the 18 of their papers we have counts for
7 papers · 1 filter
Geometric perspective of linear stability in finite networks of nonlinear oscillators
Yashee Sinha, Priya B. Jain, Antonio Mihara +4
We use a complex-valued transformation of the Kuramoto model to develop an operator-description of the linear stability in finite networks of nonlinear oscillators. This mathematic…
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…
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…
Small changes at single nodes can shift global network dynamics
Kalel L. Rossi, Roberto C. Budzinski, Bruno R. R. Boaretto +2
Understanding the sensitivity of a system's behavior with respect to parameter changes is essential for many applications. This sensitivity may be desired - for instance in the bra…
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…