## Graphs of NMS flows on $$S^{3}$$ with knotted saddle orbits and no heteroclinic trajectories.(English)Zbl 1137.37312

Summary: We consider NMS systems on $$S^{3}$$ without heteroclinic trajectories connecting two saddles orbits and we build the dual graphs associated with this kind of flows. We prove that flows coming from essential attachments of orientable round 1-handles can be reproduced from the corresponding dual graph.

### MSC:

 37D15 Morse-Smale systems 37A20 Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations 57M25 Knots and links in the $$3$$-sphere (MSC2010) 37E25 Dynamical systems involving maps of trees and graphs
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### References:

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