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math.DS2025
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…
math.DS2023
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…