Long time evolution of phase oscillator systems.

@article{Ott2009LongTE,
  title={Long time evolution of phase oscillator systems.},
  author={Edward Ott and Thomas M. Antonsen},
  journal={Chaos},
  year={2009},
  volume={19 2},
  pages={023117}
}
It is shown, under weak conditions, that the dynamical evolution of large systems of globally coupled phase oscillators with Lorentzian distributed oscillation frequencies is, in an appropriate physical sense, time-asymptotically attracted toward a reduced manifold of the system states. This manifold was previously known and used to facilitate the discovery of attractors and bifurcations of such systems. The result of this paper establishes that attractors for the order parameter dynamics… CONTINUE READING
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