ML Anthology

Constraints on Synchronizing Oscillator Networks

David E. Cairns, Roland J. Baddeley, Leslie S. Smith
NeCo 1993 pp. 260-266
doi:10.1162/NECO.1993.5.2.260 /neco/1993/cairns1993neco-constraints/

Abstract

This paper investigates the constraints placed on some synchronized oscillator models by their underlying dynamics. Phase response graphs are used to determine the phase locking behaviors of three oscillator models. These results are compared with idealized phase response graphs for single phase and multiple phase systems. We find that all three oscillators studied are best suited to operate in a single phase system and that the requirements placed on oscillatory models for operation in a multiple phase system are not compatible with the underlying dynamics of oscillatory behavior for these types of oscillator models.

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Text

Cairns et al. "Constraints on Synchronizing Oscillator Networks." Neural Computation, 1993. doi:10.1162/NECO.1993.5.2.260

Markdown

[Cairns et al. "Constraints on Synchronizing Oscillator Networks." Neural Computation, 1993.](https://mlanthology.org/neco/1993/cairns1993neco-constraints/) doi:10.1162/NECO.1993.5.2.260

BibTeX

@article{cairns1993neco-constraints,
  title     = {{Constraints on Synchronizing Oscillator Networks}},
  author    = {Cairns, David E. and Baddeley, Roland J. and Smith, Leslie S.},
  journal   = {Neural Computation},
  year      = {1993},
  pages     = {260-266},
  doi       = {10.1162/NECO.1993.5.2.260},
  volume    = {5},
  url       = {https://mlanthology.org/neco/1993/cairns1993neco-constraints/}
}