Complexity reduction ansatz for systems of interacting orientable agents: Beyond the Kuramoto model.

@article{Chandra2019ComplexityRA,
  title={Complexity reduction ansatz for systems of interacting orientable agents: Beyond the Kuramoto model.},
  author={Sarthak Chandra and Michelle Girvan and Edward Ott},
  journal={Chaos},
  year={2019},
  volume={29 5},
  pages={
          053107
        }
}
Previous results have shown that a large class of complex systems consisting of many interacting heterogeneous phase oscillators exhibit an attracting invariant manifold. This result has enabled reduced analytic system descriptions from which all the long term dynamics of these systems can be calculated. Although very useful, these previous results are limited by the restriction that the individual interacting system components have one-dimensional dynamics, with states described by a single… Expand
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