Synchronization and symmetry breaking of delay-coupled oscillators: on the role of phase and amplitude instabilities

@inproceedings{DHuys2010SynchronizationAS,
  title={Synchronization and symmetry breaking of delay-coupled oscillators: on the role of phase and amplitude instabilities},
  author={Otti D'Huys and Raul Vicente and Jan Danckaert and Ingo Fischer},
  booktitle={Photonics Europe},
  year={2010}
}
We study the synchronization behavior of Stuart-Landau oscillators coupled with delay, using analytical and numerical methods. We compare the dynamics of one oscillator with delayed feedback, two mutually oscillators coupled with delay, and two delay-coupled elements with feedback. Taking only the phase dynamics into account, no chaotic dynamics has been observed. Moreover, the stability of the symmetric (identical synchronization) solution is the same in each of the three studied networks of… CONTINUE READING
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