The computation of an unstable invariant set inside a cylinder containing a knotted flow

M. Dellnitz, O. Junge, M. Rumpf, R. Strzodka

We perform a numerical study of a knotted flow through a cylinder. In this example - which is due to Conley - based on certain assumptions on the flow Wazewski's Theorem guarantees the existence of an unstable invariant set inside the cylinder. We explicitly construct a flow with the desired properties and approximate the corresponding invariant set using set oriented multilevel subdivision techniques.

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Bib Item

@InProceedings{DeJuRu_00set,
  author = 	 {Michael Dellnitz and  Oliver Junge and Martin Rumpf and Robert Strzodka},
  title = 	 {The computation of an unstable invariant set inside a cylinder containing a knotted flow},
  booktitle = 	 {Proceedings of the Equadiff'99},
  pages = 	 {1015--1020},
  year = 	 {2000},
  editor = 	 {B. Fiedler and K. Gr\"oger and J. Sprekels},
  publisher = {World Scientific},
}