The computation of an unstable invariant set inside a cylinder containing a knotted flow
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چکیده
We perform a numerical study of a knotted flow through a cylinder. In this example – which is due to Conley [1] – 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. 1991 Math. Subject Classification: 58F13, 58F19, 65L50, 65L15, 65Y25
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تاریخ انتشار 2000