2022/06/06 by Groisman, Pablo, Huang, Ruojun, Vivas, Hernan
#FOS: Mathematics #Probability (math.PR)
paper · doi:10.48550/arxiv.2206.02642
We propose a Kuramoto model of coupled oscillators on a time-varying graph, whose dynamics is dictated by a Markov process in the space of graphs. The simplest representative is considering a base graph and then the subgraph determined by N independent random walks on the underlying graph. We prove a synchronization result for solutions starting from a phase-cohesive set independent of the speed of the random walkers, an averaging principle and a global synchronization result with high probability for sufficiently fast processes. We also consider Kuramoto oscillators in a dynamical version of the Random Conductance Model.