Synchronization and Dimensionality Reduction in Networks of Hybrid Phase Oscillators: A Perspective from Legged Locomotion

Shai Revzen

Network Frontiers Workshop, 2015

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Abstract

Phase oscillators are a common reduced model for oscillatory systems. When the equations of motion of a network of phase oscillators are discontinuous (and meet some technical requirements), the resulting model is a hybrid dynamical system. Such models can arise for power grids, for neural nets, and in describing legged locomotion of animals and robots. I present recent results on the dynamics of this class of models, which show surprising advantages for control and stabilization of locomotion thanks to the use of legs. The results apply broadly to networks of hybrid oscillators.

BibTeX

@conference{revzen-2015-nfw,
  author = {Revzen, Shai},
  title = {Synchronization and Dimensionality Reduction in Networks of Hybrid Phase Oscillators: A Perspective from Legged Locomotion},
  booktitle = {Network Frontiers Workshop},
  year = {2015},
  month = dec,
  organization = {Northwestern University},
  url = {https://netfrontier.northwestern.edu/documents/Slides_NFW2015_Revzen.pdf}
}