Non equivalence of NMS flows on \(S^{3}\). (English) Zbl 1265.37008

Campos, B.; Vindel, P.

Math. Bohem. 137, No. 2, 165-173 (2012).

Summary: We build the flows of non-singular Morse-Smale systems on the 3-sphere from its round handle decomposition. We show the existence of flows corresponding to the same link of periodic orbits that are non equivalent. So, the link of periodic orbits is not in a \(1-1\) correspondence with this type of flows and we search for other topological invariants such as the associated dual graph.

MSC:

37D15	Morse-Smale systems
57M25	Knots and links in the \(3\)-sphere (MSC2010)

Keywords:

non-singular Morse-Smale flow; round handle decomposition; link