Graphop mean-field limits and synchronization for the stochastic Kuramoto model.Models of coupled oscillator networks play an important role in describing collective synchronization dynamics in biological and technological systems.  We formulate a general mean-field theory (Vlasov-Focker Planck equation) for stochastic Kuramoto-type phase oscillator models, valid for coupling graphs/networks with heterogeneous connectivity and coupling strengths, using graphop theory in the mean-field limit. 
Graphop
We formulate a general mean-field theory (Vlasov-Focker Planck equation) for stochastic Kuramoto-type phase oscillator models, valid for coupling graphs/networks with heterogeneous connectivity and coupling strengths, using graphop theory in the mean-field limit. 
graphop theory
Graphop mean-field limits and synchronization for the stochastic Kuramoto model.Models of coupled oscillator networks play an important role in describing collective synchronization dynamics in biological and technological systems.  We formulate a general mean-field theory (Vlasov-Focker Planck equation) for stochastic Kuramoto-type phase oscillator models, valid for coupling graphs/networks with heterogeneous connectivity and coupling strengths, using graphop theory in the mean-field limit. 
Graphop