6 papers
Random -regular graphs are not globally synchronizing
Ciro Carvallo, Pablo Groisman, Dieter Mitsche
We study the homogeneous Kuramoto model on random 3-regular graphs. A connected graph is globally synchronizing if, for almost every initial condition, the gradient flow conver…
The tentacles landscape: geometric properties of high-dimensional basins of attraction
Pablo Groisman
Basins of attraction in multistable high dimensional dynamical systems are expected to have universal features but very little has been proved rigorously. We consider phase oscilla…
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…
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…
Scaling Limit of the Kuramoto Model on Random Geometric Graphs
Francisco Cirelli, Pablo Groisman, Ruojun Huang +1
We consider the Kuramoto model on a graph with nodes given by i.i.d. points uniformly distributed on the dimensional torus. Two nodes are declared neighbors if they are at…
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…