Phase transition to frequency entrainment in a long chain of pulse-coupled oscillators.

@article{Ostborn2002PhaseTT,
  title={Phase transition to frequency entrainment in a long chain of pulse-coupled oscillators.},
  author={Per Ostborn},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2002},
  volume={66 1 Pt 2},
  pages={016105}
}
  • Per Ostborn
  • Published 2002 in
    Physical review. E, Statistical, nonlinear, and…
A long chain of pulse-coupled oscillators was studied. The oscillators interacted via a phase response curve similar to those obtained from pacemaker cells in the heart. The natural frequencies were random numbers from a distribution with finite bandwidth. Stable frequency-entrained states were shown always to exist above a critical coupling strength. Below the critical coupling, the probability to have such states was shown to be zero if the number of oscillators is infinite. This… CONTINUE READING

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