M. Dellnitz, O. Junge, M. Rumpf, and R. Strzodka.
The computation of an unstable invariant set inside a cylinder
containing a knotted flow.
In B. Fiedler, K. Gröger, and J. Sprekels, editors,
Equadiff, pages 1015-1020. World Scientific, 2000.
[ bib ]
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.