3 papers
math-ph2025
The size of the sync basin resolved
Pablo Groisman, Cecilia De Vita, Julián Fernández Bonder +1
Sparsely coupled Kuramoto oscillators offer a fertile playground for exploring high-dimensional basins of attraction due to their simple yet multistable dynamics. For identical…
math.PR2025
Phase Synchronization in Random Geometric Graphs on the 2D Sphere
Cecilia De Vita, Pablo Groisman, Ruojun Huang
The Kuramoto model is a classical nonlinear ODE system designed to study synchronization phenomena. Each equation represents the phase of an oscillator and the coupling between the…
math.PR2024
The energy landscape of the Kuramoto model in random geometric graphs in a circle
Cecilia De Vita, Julián Fernández Bonder, Pablo Groisman
We study the energy function of the Kuramoto model in random geometric graphs defined in the unit circle as the number of nodes diverges. We prove the existence of at least one loc…