Exact response theory and Kuramoto dynamics

  title={Exact response theory and Kuramoto dynamics},
  author={Debora Amadori and Matteo Colangeli and Astrid Correa and Lamberto Rondoni},
  journal={Physica D: Nonlinear Phenomena},
The dynamics of Kuramoto oscillators is investigated in terms of the exact response theory based on the Dissipation Function, which has been introduced in the field of nonequilibrium molecular dynamics. While linear response theory is a cornerstone of nonequilibrium statistical mechanics, it does not apply, in general, to systems undergoing phase transitions. Indeed, even a small perturbation may in that case result in a large modification of the state. An exact theory is instead expected to… 

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