@INPROCEEDINGS{DeJuRuSt00, author = {Dellnitz, Michael and Junge, Oliver and Rumpf, Martin and Strzodka, Robert}, title = {The computation of an unstable invariant set inside a cylinder containing a knotted flow}, booktitle = {Equadiff}, year = {2000}, editor = {B. Fiedler and K. Gr{\"{o}}ger and J. Sprekels}, pages = {1015--1020}, publisher = {World Scientific}, abstract = {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.} }