Dynamic Topology in Spatiotemporal Chaos

@inproceedings{Ouellette2008DynamicTI,
  title={Dynamic Topology in Spatiotemporal Chaos},
  author={Nicholas T Ouellette and Jerry P. Gollub},
  year={2008}
}
By measuring the tracks of tracer particles in a quasi-two-dimensional spatiotemporally chaotic laboratory flow, we determine the instantaneous curvature along each trajectory and use it to construct the instantaneous curvature field. We show that this field can be used to extract the time-dependent hyperbolic and elliptic points of the flow. These important topological features are created and annihilated in pairs only above a critical Reynolds number that is largest for highly symmetric flows… CONTINUE READING

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