Time delay in the Kuramoto model with bimodal frequency distribution.

  title={Time delay in the Kuramoto model with bimodal frequency distribution.},
  author={Ernest Montbri{\'o} and Diego Paz{\'o} and J{\"u}rgen E. Schmidt},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={74 5 Pt 2},
We investigate the effects of a time-delayed all-to-all coupling scheme in a large population of oscillators with natural frequencies following a bimodal distribution. The regions of parameter space corresponding to synchronized and incoherent solutions are obtained both numerically and analytically for particular frequency distributions. In particular, we find that bimodality introduces a new time scale that results in a quasiperiodic disposition of the regions of incoherence. 

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Publications referenced by this paper.
Showing 1-10 of 11 references

Emergence of Dynamical Order ͑World Scientific

  • S C Manrubia, S S Mikhailov, D H Zanette
  • Emergence of Dynamical Order ͑World Scientific
  • 2004

Chemical Oscillations, Waves, and Turbulence ͑Springer-Verlag

  • Y Kuramoto
  • Chemical Oscillations, Waves, and Turbulence…
  • 1984

Europhys. Lett

  • Lett, G Vladimirov, P Kozyreff, Mandel
  • Europhys. Lett

J. Stat. Phys

  • L L Bonilla, J C Neu, R Spigler
  • J. Stat. Phys

Phys. Rev. A

  • H Sompolinsky, D Golomb, D Kleinfeld
  • Phys. Rev. A

Phys. Rev. E

  • D Pazó
  • Phys. Rev. E

Phys. Rev. Lett

  • Stephen Yeung, S H Strogatz
  • Phys. Rev. Lett

Physica D

  • S H Strogatz
  • Physica D

Prog. Theor. Phys

  • H G Schuster, P Wagner
  • Prog. Theor. Phys

Rev. Mod. Phys. J. Theor. Biol

  • J A Acebrón
  • Rev. Mod. Phys. J. Theor. Biol

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