A quantitative proof that Kuramoto-Sakaguchi solutions converge exponentially fast to the unique synchronized equilibrium from generic initial data when the coupling strength is large, with a companion probability estimate for finite oscillator systems.
Morales, Least action principles with applications to gradient flows and kinetic equations, Ph.D
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On the trend to global equilibrium for Kuramoto Oscillators
A quantitative proof that Kuramoto-Sakaguchi solutions converge exponentially fast to the unique synchronized equilibrium from generic initial data when the coupling strength is large, with a companion probability estimate for finite oscillator systems.